First, welcome to the ACA Forums!
I personally think you are taking a pretty big risk. However, if you arrive early enough, can assemble your bike and gear quick enough, etc., etc. then you might be able to do it. You don't give enough info to help provide a reasonable answer. For instance, when does the plane arrive, what time is shuttle, etc.
Again, personally, I would (and do) take it easy for the first couple of days as travel plans go awry (like today's worldwide meltdown), the bike may not make it on time, etc., my body is not adjusted to the sudden insult have lugging extra gear around, etc. If I did make all the connections and was able to depart, would I risk not making it before sunset.
To me, I prefer to be conservative on my time management because I can always slow up but it is much harder to make up time/miles so I always plan on half days for the first few days as sort of a buffer. Once on the ride, I can always speed up if I want and then have extra time in my back pocket.
Finally, Banff is a pretty cool town. It would be a shame to just blow through it.
If it is not too late, I would try either stay in a hotel near the Calgary Airport (or wherever the shuttle picks up) or seeing if I could get a campground in Banff and take off the next day after a decent night's sleep.
Whatever you decide, I wish you a wonderful tour!
Tailwinds, John