I have the 'same' problem. It wasn't noticeable until chapter 2 and it "goes away" the longer you wait to click the End Turn button but returns after the computer finishes his moves and it's your turn again. Even in the Raven it happens and animations, sound and even the cursor stutters A LOT. Reloading does not fix the issue as well (in fact, if it already "went away" the stuttering returns as soon as the game is loaded.)
V-sync on or off makes no difference. The same goes for the fps cap.
I'll try to lower the details and mess around with some settings in the control panel.