Breakers loose in panel a problem?
Replace the breakers

I'm not precisely sure what's going on here, but replacement breakers should cure the wobbling issue, once and for all.  It might be an issue with old TQL (or early THQL even?) breakers not fitting properly into a new Q-line panel (as documented here), or it could simply be that the line-side jaws on your breakers are not in good condition any longer -- either way, the cure is the same.