This is to update my previous posts about this problem.
I have an Ipac connecting my control panel to my computer. It would work for a short amount of time. Then, when I was playing games, my character on the screen would randomly start pulling left or right. Some responses to my prior posts suggested removing applications that I didn't need and remove any joystick drivers. None of that applied to me.
While I was doing something else, I had a USB keyboard plugged into my computer so I could work on some other stuff. To my surprise, the keyboard did the exact same thing. It would randomly start pulling to the right or left. I was running Windows 98 in DOS mode, and I had the "USB Keyboard" option enabled in my bios. Apparently, that was the problem. I switched the Ipac to PS/2 mode and it worked fine.