Well
There isn't a 1000 dollar difference. Tikkas are what, $500ish (more for varmint, stainless etc.). Sakos are what, $1000?
If you're feeling value conscious, you might want to check out CZ's line of rifles. Very very classy.
Tikka is Sako (both owned by Beretta). It's their value line if you will. It appears you already knew that.
The barrels maybe the same (believeable) and perhaps the extractors, but everything else is different.
Accuracy is really good in either gun
Sako's have nicer stocks.
I would call the triggers equal (both superb).
Basically Sakos are prettier and I surmise will hold up better in the long run.
Things about the Tikka (I have a pre T3).
The stock is pretty cheesy. It is a hollow plastic job. However, it is light, and strong enough. It is ergonomic and comfortable to shoot. Sakos have similarly dimensioned stocks, but they are a much higher grade plastic and definitely more solidly made. Both have palmswell which I love.
As said before, more plastic on the Tikka. It is functionally about all you could want, but I'd bet the Sako will last longer.
The integral scope mounts are different. I kinda prefer the Tikka mounts anyways. Both work.
If you want a great shooting gun with a superb trigger. Either
You want something pretty. Sako
You have enough money that and extra $500 won't be missed. Sako
You just want something to shoot. Tikka
If you don't like plastic. Sako
For the price of a Sako, you could buy a Remington, have a Krieger barrel put on it, and put a Jewel trigger in it.
$400 for Rifle
$500 for barrel
$200 for trigger
But you still wouldn't have a Sako.