Just another thought.....if you still have the old belt that you just took off, put it back on and see if the wobble is there with that one. If not, I would agree with SB12345 who posted above, it is something about the new belt and like others have said, a period of break-in may be required but I've changed a number of belts on my 160 and this has never been an issue. Since the old belt was longer (and likely from use and age) it placed less stress between the motor pulley and the subplatter than the new belt now does so that's one thing. I'm still not convinced that a new, shorter (but presumably correct length) belt should be causing this symptom though.
The reason I suggested cleaning the circumference of the subplatter with the steel wool is that I have solved some issues with the belt making a slight noise upon startup by doing this, along with the washing of the belt previously mentioned. If you don't have steel wool, I have also used the green scrub pads that are on the reverse side of the sponges for dishes that you can get at most household stores. Slightly moisten it and just go around the subplatter rubbing until it feels smooth.
Like to hear the outcome of this so please do post back.