i use a sony bravia.... my model has an ips panel and i connct via hdmi. works great. (its a few years old though)
you only need game mode if buying 120/240hz. i use a 60hz to avoid that little problem.
you can adjust overscan/underscan in your pc graphics settings.
are you sure you want 2d->3d conversion (it looks like utter crap)?
what is the model number for what the sony you have? I do want 2d-3d conversion as it looks okay on the panasonic i have.