First of all, I don't believe for a moment that "the vast majority of Americans support" the various gun control bills being proposed.
Second, even if I did . . . well, there's this funny thing about rights. You're not supposed to vote on them. The 2A doesn't say ". . . . shall not be infringed, except by popular vote." The 1A doesn't say "Congress shall pass no law respecting the establishment of religion, except by popular vote." The BoR, in large part, protects the individual from mob rule.
I'm a lawyer, but I'm not your lawyer. If you need some honest-to-goodness legal advice, go buy some.