Unlike pure republicanism, Judaism believes that the establishment must care for the individual. Including mandatory tzedaka donations (maaser, gabbai tzedaka, etc.) and safety measures (even banning certain animals).
Frum Yidden should definitely support the giving up of private rights for the greater good. (This is NOT to say that gun control is necessarily the greater good. That is up for debate.)
[Think about this example: The town elders were responsible that every visitor would be given food and escort, and if they neglected this responsibility and the visitor died – it was as if THEY KILLED HIM (רש”י דברים כא, ז). That doesn’t sound very republican to me…]