I have no experience with the Kimber so I won't comment, clearly some love them and some do mention the inconsistent accuracy.
I do have a Tikka SS and like it very much. It is about half the price, but is also very light, and 99% of the reviews and feedback say it is highly accurate, which I will attest to. It is not a short-action, but if you are considering a WSM caliber, using a Tikka with it's vertically aligned clip you won't have to worry about feeding problems or if you reload there will be plenty of room to seat bullets properly.
Of course, I like the ballistics of the 270WSM very much, but as a reloader who want all I can from my round, I do not prefer a 270 to a 7mm or 6.5mm round due to better bc's. The Tikka is avail in 270WSM and 7mm Mag, which with the best bullets will give you a slight advantage on both deer and elk, IMO.