Yup, magic mouse invokes the page swipe animation and works fine. With the trackpad the animation gets stuck halfway. After which the only thing the trackpad can do in Safari is left click and move the cursor. The tabs are all frozen.
That leaves out any graphics-related issues (unless they for some reason use a differently coded animation for it—I don't know why they would even do this).
By any chance do you have access to and can temporarily pair a second trackpad?
----------
Not for everyone, that's for sure...
I'll assume that you have all the relevant boxes checked (System Preferences->App Store)?