2:52 p.m. on November 8, 2012 (EST)
Supernoob,
As Big Red indicates, I believe you greatly misread my admittedly lengthy post. The term "HIGHLY predjudice point of view" (sic) is, to say the least, a very loaded one. Most of what I posted was factual information - the number of people within the lower 48 and Earth, land area within the lower 48, max distance from the nearest road in the lower 48, the campaign by the governor of a certain western state (I will let the Trailspace members who are residents of that state name him, though you can easily find it on the web), the photo (which is only reduced in number of pixels, with no enhancements), the required amount of wood to make a leanto of the specified size, and so on.
One of the basic points was that just by your existence on this planet you are making an impact, as is every other one of the 7 billion bipeds on the Earth. The goal is to minimize your personal impact, which first requires being conscious of all the various impacts. It is to some degree your choice the level of impact you make (as long as you are alive, you expel carbon dioxide and methane, two of the most powerful greenhouse gases, into the atmosphere - that's just a byproduct of every species of animal, so you have no choice there).
I did not condemn your wanting to learn and practice some of the primitive skills. In fact, that's a laudable thing. As Big Red noted, many of us who visit Trailspace have been doing that sort of thing for years (or even for some of us decades). It may well lead to your having a deeper understanding of the connectedness of everything on our planet (and it is indeed "our planet", all 7 billion of us hominids).
You said:
...is there ANYWHERE a person can just go into the wild and be alone? Is there even such a thing as wild anymore? Do we need to go into the dangers of the Alaska wilderness just to get in touch with our basic human roots?
Yes, there are plenty of places. I would take issue with your rather inflammatory "dangers of the Alaska wilderness", though. "Danger" is what you perceive and make it. Where I currently live, in the SFBay Area, you can get die in a "wilderness" setting within 5 miles of my house (and people have), attacked by a wild animal (though getting shot by the people doing "agricultural experiments" in the hills is more likely). We have mountain lion, coyote, bobcat, bear, and, on the edible side, salmon and steelhead in the streams, as well as rabbits and deer. There are berries to be gathered as well. The photo below was taken about 15 miles in a straight line from my house.

I do know a bit about the art of "bushcraft", though where I grew up on a reservation in the middle of the Sonora Desert, it was just the normal way of life. And I lived in the northeastern US, and have spent a fair amount of time in the hills and woods there. So I am quite familiar with your "neck of the woods." I am sure you realize that New England was clearcut of virtually all of the trees that were there in 1491 (just before Europeans sailed across to the so-called "New World").
Here is a fairly recent photo of me in the woods (again, about 10 or 12 miles from my house).

To deal with some of your questions - first I suggest you go to the Leave No Trace organization website.
I'm with you on leaving no trace, but to what level?
As I said above, just by living, you are leaving a trace. The idea is to be a good steward of this planet we live on. It's the only one we have right now. Try to set a good example for others and help them understand that everything on the planet is connected to every other thing on the planet.
If I chop down a tree, is that leaving a trace?
Yes. It may re-grow, and other trees may grow in the same location. But it will not be the natural succession that would have occurred had you let Nature take her course.
If I hang a hammock will the tree die? (Sure I guess it could if you use the same tree 20 times and tie it improperly.)
That depends on how you attach the hammock to the tree. The tree will probably live through it, though if you hang the hammock in the wrong way, the tree may have scars. If you hang the hammock wrong, you will choke off the tree's circulation system, causing a premature death and providing a breeding ground for one of several beetle and fungus infestations.
lighting a fire is not an impact on the environment.
Actually, it is. The wood you gathered, especially down wood, will decay back into the ground and provide nutrients for other plants, as well as the insect part of the food chain, which nourishes the next level and on up the line to the fish you want to catch, the rabbits you snare, and the deer you harvest with your bow.
If I create a fire pit should I not only disassemble it, but put the rocks back where I found them?
That is the recommended way. As nearly as possible, leave the area with as little evidence of your passage as possible. You may not realize it, but the people you say you are trying to emulate in fact did bury their fires after making sure they were "dead out" (you do know how to do that, don't you?) and did return the rocks to their original locations with the charred side down. This was because not all the other peoples living and hunting in the area were friendly or amenable to having others in their hunting grounds. "Leaving no trace" was part of survival.
You refer to these things as going to extremes. Actually, they take very little effort. Again, remember that everything on this planet is connected to everything else. You will have an impact simply by being there, no way you can avoid that. The idea, again, is to reduce that unavoidable impact as much as possible.
Returning to the OP's topic - as several have already posted, as much as I would like to have full freedom to go where I want when I want, or alternatively if you have to have limits, then make them so that it keeps the riffraff off of MY land and MY mountains and MY woods (allowing only MY special friends to come with me [8=>D), I recognize that this is being more than a little selfish. As has been pointed out before, requiring someone who wants to go into a more or less pristine wilderness area to get a permit and a briefing provides an opportunity for education in keeping an area more or less pristine and more or less untrammeled. It helps to open people's eyes and minds to the values of untrammeled areas and why we should all practice LNT principles. Perhaps it can result in future generations being able to enjoy a little of what BigRed, Ed whome, and I grew up with (should the "Naked Ape", to quote the title of a certain book, manage to avoid wiping his/her species from the face of the planet). Yes, we do have a worry as the 3rd world countries demand (rightfully) to share in the comforts of "civilization", including plenty of healthy food, medical care, and the means to acquire it. We do not have the right to deny the 3rd worlders their chance for health and enjoyment of life. But maybe by our example, we can help them to realize as well what a limited resource we have, so that they, too, will become good stewards of the planet. Maybe homo sapiens can learn to stop "fouling her/his own nest."