do you mean you want to tour to a place like Haines and then take the ferry? Otherwise the most important piece of equipment would be a saw to use to cut the trees down to make the road to get there...

on a more serious note...one thing you need is a water filter...schwalbe marathon would be good tires...the stretch of highway after Whitehorse can be very dry...load up on water there...you'll need to learn about camping in grizzly country...get a Milepost book for Alaska if you want to learn mile by mile interesting things along the way as part of your planning
I wouldn't consider using any bike that didn't have braze-ons for racks, front and rear. You're going to go over a lot of rough road here and there and you'll be loaded with tent, cooking gear, and considerable food since you will be days without food at a time. A broken rack is really a problem. You can play the odds if you want...but if 100 people ride it with a LHT and another 100 ride it with your bike, there will be more problems with your bike. But it could work. If you do take your bike, learn how to adjust your BB and headset. The headset is a likely candidate for requiring adjustment. Carry a tire boot for sure although with Schwalbe's it's not likely you'll need it. Be preapared for days of rain at a time. You could spend a month in Ketchikan and never see the sun. Make sure your rain gear is top notch and if it's GoreTex, keep it clean.