Read the comic again, your right to free speech has nothing to do with your privilege of using the public airwaves.
The FCC chairs' threat to ABC is about the later, not about arresting executives or Kimmel like one would expect if you read the comic then your comment.
The comic is incomplete, the first amendment also protects content based discrimination in government interactions outside of certain exceptions. It does not require arrest.
For example in the granting of permits for marches.