The crux of this is not the degree to which
guns are or are not protected by the Bill of
Rights, though that does come into play when comparing these restrictions
vs being able to travel on commercial airlines, for example.
The big
gun control case that went to the supreme court, Columbia
vs Heller in 2008 actually came down on the side of the
right with a (not unusual for the supreme court), 5/4 decision along party lines.