I have both. A Wilson Xtac and an older Kimber classic rebuilt with Wilson parts. Both are reliable and very accurate.
I have a G40 as well. I have used both on various critters and have seen the end results of top shelf ammo from both calibers.
I carry the G40 when I'm out in the wilderness. 1911 for SD. Either will do both, but the 10mm gives me more range, quite a bit more ammo on board, and noticebly better terminal performance on the larger animals.
All that said, and to answer your OP, yes, the 10mm (loaded properly) will significantly outperform the .45 assuming that you are equally proficient with both.
Note: The only really dangerous things I've encounterd out in the wilds were the two legged class of dangerous animals.
I don't know what kind of critters you have out there in Pennsylvania, but a .45 should do what you need. If you just want a new pistol that is a step up in performance to justify the expense, then a 10mm is a worthy investment.