I like my Kimber, and I like both the 270 WSM and 300 WSM. But don't think the round or rifle is the best choice for a first hunting rifle. Kimbers are VERY accurate rifles, but are also the lightest of production rifles and require very good shooting form to shoot them accurately. I'd been hunting and shooting for close to 40 years before buying my Kimber and it took me about 100 rounds before I fully mastered the 5 lb. rifle and started shooting it well.
The 270 WSM is one of the best long range hunting rounds out there, but ammo is expensive, and they have a bit more recoil than I'd suggest for a first rifle. Especially in a lightweight Kimber. For a veteran hunter who has the skills to use it, that would be a great all around combination.
For a beginning hunter it is hard to beat a 243, 260, 7-08, or even a 308. With todays premium bullets I'd recommend a 243. It'll kill any deer on the planet from greater range than most have the skills to shoot it. If bigger game is a possibility then the 7-08 or 308 would be better choices.