After you launch in the game, alt-tab back to your desktop. Right click on your task bar and choose "task manager" or hit ctrl-alt-delete and click the "task manager" button. When the Task Manager window pops up, chose the "processes" tab and find the GalCiv2.exe process (i think thats what it's called, but i'm at work and cant remember). Right click on it and chose "set affinity". A window will pop up with some check boxes. With a dual core processor, CPU 0 and CPU 1 will be checked. Uncheck CPU 1, hit ok, close the task manager, and alt-tab back into the game.
This works to clear up a LOT of issues from some various games, so try it out on any game you're having weird crashes or jumpy graphics on. (This even worked for me to make Firefox stop getting all jittery when it was showing an animated GIF file).