No, you wouldn't.
Again, just because the NRA and Fox news shove something down your throat, that doesn't mean there's a hint of truth to it.
If Clinton had won the presidency, there would still be a Republican House and Senate. Ignoring the fact that a supreme Court Justice is unlikely to blatantly ignore the bill of rights, a nominee that would be in favor of a national ban on guns wouldn't get approved in the first place.