8:31 p.m. on October 22, 2012 (EDT)
No sharpies in your carry-on.
For expeditions where I have to get to the gathering point by commercial plane, I pack my "Must have, can't replace locally" stuff like my down gear (parka, down pants, expedition sleeping bag, double boots) in my carry-on pack (or sometimes wear them). I just put the climbing pack in a big duffel in the past. I have been using a large rollaround that has a hard back for the last 7 or 8 years. Some of my friends use something like the large TNF duffels that are made for transporting your climbing gear, though they are heavy enough you have to check your bag weights carefully (I carry a small baggage scale to check the packing on the way back).
Crampons, ice tools, knives, etc, along with the expedition pack with clothes that could be replaced locally go in a roll-around duffel that gets checked.
I have done this for Alaska, Chile, Peru, Antarctica, the Alpine countries of Europe (Italy, France, Switzerland,...), etc. I have never had a problem. A couple of times, someone in the group had a bag delayed by a day or two, and once, one of the group had to borrow a sleeping bag from the logistics company.
For your ice tools, I would suggest wrapping duct tape around to keep the tip/point/adze protectors in place. The kevlar bag for the crampons is fine, though you may want to add point protectors.
Stoves are another question. No fuel, obviously. Some airlines do not permit stoves, even new in the shrinkwrap. Others just do the "sniff test" and will allow stoves and empty fuel bottles that do not smell of fuel in your checked luggage.
Some countries will let you past the security area with an empty water bottle. But in Peru, I could pass the first inspection with a new bottle of bottled water, but could not board the plane with it. And the gate inspection people (on the ramp leading into the plane) were confiscating baby bottles full of formula over the protests of the rather upset parents.
Some countries will not allow you to bring food into the country. Your Canada doesn't allow more than a day or so worth of food into the country - we had our month's supply of freezedry in the packs in the car and the Mounties confiscated it. So we had to stop at MEC. Chile is even stricter - basically the rule is NO food, including the roll from the inflight breakfast you didn't finish - so much for my bag of gorp. At least they didn't fine me, though they did fine one woman passenger a pretty substantial amount for "attempting" to bring some in. You can always smile at the Customs people and say "no comprende" or just deny having food (I don't recommend this approach, though.
What it comes down to is check with the airline in advance and find out what the country you are going to and from allows.
Funny thing in Anchorage - there are shops in the airport that sell ulu knives. People all the time buy one in the airport, then get to the security checkpoint, the ulu gets confiscated, and there is no recourse. There are signs all over the airport, but who reads the signs?