Nope! All things being "equal", like distance/range, shot placement, bullet construction,
etc., there's not going to be much, if any, difference. Yes, the 45cal. cartridge will make
a little bigger hole, but it's not much.
You want something neat to hunt with, check out the 45LC (45Colt). Get ya' a Ruger
Blackhawk, maybe 5-1/2" barrel (or a Redhawk). You can practice some with regular factory loads, then also with custom heavy stuff for hunting use. It's amazing what this old cartridge can do. It's a hoot!

Ammo: http://www.cpcartridge.com/index.htm