Thanks Randall.
Getting back to the rifle, after proving it to make sure it'll not kill ya, there's a lot you can do to make the T/C Hawken a more traditional looking rifle. But you'll sink more money into it for new furniture (trigger guard, butt plate, nose piece, and sights. You may also want to replace the barrel to give a barrel that is known to to safe, and more traditional.
The stock is too high in the comb, and the wrist is too high where it joins the comb. So by cutting from 3/8" - 1/2" off the top of the wrist, and then the comb, continuing the comb line straight back to the butt plate, you'll greatly improve the shootability of the rifle, with more traditional sights. The brass butt plate is solid in its return, so you can shape it down with the comb when you do that work.
Reduce the wood along the barrel, exposing more steel. You can drop it well below half way. The forearm of the rifle is slab-sided. Once you have reshaped the lock panels you can round up the forearm.
I could go on...but I hope you get the idea. This might sound like simplification, but you have to have an idea of what you want to achieve before you start cutting. This is not something you're born with, but something that you learn by study, and by making chips fly.
Enjoy the ride!