I have a Unifence. At one point, we were having a hard time with it clamping in the common range (2" to 6"), so we made a new thicker washer between the handle and the head. It works great. The backside of that lip can get squished, chewed up, etc.
The good news, like has been said above, is that the two screws on either side of the head really set parallelism. The locking mechanism on the inside is really just pulling those two screws towards the flat face on the outside of the track. I should check my parallelism since I haven't done that in a while, but I don't have to much problem with it.