I have a Tikka T3x lite 6.5cm and Stag AR-10 6.5cm. The short answer is if you are hunting and long range shooting get the Tikka!
The long answer: Both of my guns are very accurate. The problem arises with how AR-10s shoot. Maybe its me, but I have to work a lot harder to shoot them as accurately. I don't know if it is the grip/trigger relationship, or the different recoil pulse of the buffer system. I can shoot it accurate, but it is much easier to grab my Tikka and shoot a nice tight group, thus I personally have more confidence in a bolt gun.
I shoot/hunt suppressed. It is pretty rare occasion hunting big game to need a quick second shot that can not be accomplished with a bolt gun. This is why i have a cabinet full of custom AR's I sunk a lot of money into making accurate, and now I rarely use. Unless you need a 30 round mag to eliminate a herd of antelope, the AR-10 has no benefit.
AR's are inherently not as reliable. There are a lot more moving parts which can fail. I have seen people miss animals cause their slide wasn't all the way forward, or something jammed because AR's are very dirty guns especially when shot suppressed.
AR's also need more work to fine tune to operate perfect, as i'm particular. Thus playing with buffer weights, springs, bcg weights etc.. is needed for a very accurate gun.
On last note, is when shooting long range I like lightweight single stage triggers. You will not find this in AR's, reason being it is too easy to double tap the trigger, trust me I know. I had to install a heavier trigger because of this problem.
I like AR's and they are fun to build and there are a million ways to build them. But for hunting I always rely on my bolt guns.
One last note, building an AR-15 is fun and there are a lot of parts that can be interchangeable. Since "AR-10's" are not a mil spec item it is a nightmare mixing and matching parts. You are better off buying one complete then trying to "build" an AR10.
I was never a Tikka fan till i used one. It is hard to describe but they are refined better then any other bolt gun in its class, and can rival custom actions. If you buy the Tikka you won't regret it. My $.02