The problem is that this is a disingenuous comparison.
Again, as has been covered, it is USE of speech that is limited. Certain words are not banned; it does not require a license to use particular phrases; you don't require a background check to say or print certain things. Yelling "FIRE" is not against the law. The word FIRE is not banned. It does not require a special license to say FIRE -- it is the causation of ensuing panic by using the word in a particular situation that is illegal.
In the same way, USE of firearms is all ready limited under existing statutes. Brandishing, assault, manslaughter, murder...all ready against the law.
So, the idea that "other rights are all ready heavily regulated" being used as a rationale for ADDITIONAL restrictions of the right to keep and bear arms is a logical fallacy.