Good luck altering the constitution to allow for content based prohibition of speech.
Now, on the other hand, the Supreme Court can also chose to ignore a couple centuries of case law and effect the same goal but that's also less likely than changing the constitution.
Let's take advertising out of it, what are the chances we would even be seriously discussing this issue if TFA was proposing to outlaw an entire religion?
Sure you can, you just have to alter one big law.