So it turns out it was the resolution in both games that was throwing me off, along with one other issue. That should fix your problems in Fallout 3 and New Vegas, but you never know because those games are very unoptimized as it is.
What I would do is keep V-Sync off and then force a limit on the fps using something like RivaTuner, which you can get from installing MSI Afterburner: When you did this it turned off V-Sync and now your game is running faster than 60fps, because Bethesda thought it was smart to tie everything to frame rate, now that your game goes over 60fps everything else gets faster in the process. It did stop the screen tearing for NV, 99% of the time, but now my character runs very quickly. This will forcibly disable VSync in the game."
Make a backup copy of this file first, then open it with a text editor like Windows Notepad, and alter the iPresentInterval=1 variable to iPresentInterval=0 and save the change. "You can force VSync off in Fallout: New Vegas by editing a command variable found in the Fallout_default.ini file in the \Program Files (x86)\Steam\steamapps\common\fallout new vegas directory.