I'm at work so I cannot currently check, however, after doing some google searches for INI tweaks for mouse smoothing/acceleration, I came up with this these ini tweaks for other games that may or may not hold true for SWTOR. If someone could try and report back, it would be greatly appreciated. These settings would all have to be added to the bottom of the ini folder, saved, then changed to READ ONLY (So launching the game doesn't revert them back).
bMouseAcceleration=0
Another option is:
bEnableMouseSmoothing=False
Another option is:
fForegroundMouseAccelBase=0
fForegroundMouseAccelTop=0
fForegroundMouseBase=0
fForegroundMouseMult=0
Another option is:
[Engine.PlayerInput]
MouseSmoothingMode=0
MouseAccelThreshold=0.0
I will continue to look for more ways to fix this until the devs finally figure it out themselves. If you have any question how to access your ini folder and change these settings please ask.