You have a valid point that there are instances of free speech that do effectively require anonymity.
The point of an actual driver's license is first to certify, and second to identify. However, if you give Mundie the benefit of the doubt, he was just using the wrong metaphor and didn't mean that some people wouldn't get the keys to the castle. Would an "internet license" that demonstrates your identity but has no entrance requirements and no way of being denied or revoked be as directly correlated with censorship?
The conditions you laid out are hypothetical. Yes, if we ignore the anonymity requirement for all free speech, and it was strictly identity only with no other requirements, it would less directly associated with censorship. But this hypothetical is begging the question... If everything were sweetness and light, we wouldn't have problems with a stricter license for access proposal either because there would be no fear of retribution, and no one would have a reason to speak out. But there is, and they do...
So practically, even your proposal is broken. There is a requirement. You must identify yourself. So how do you do that? Well, you have to supply the proper "papers" -- and what authority will guarantee those? Oops, you've just handed the keys over again...
And the best part? It does nothing to stop criminals, who would have no problem breaking the law again, to just fake the papers and get an id to use a conduit for... whatever. It just institutes another level of control, another mental and practical barrier, to cross for normal people who wish to speak their mind.
The point of an actual driver's license is first to certify, and second to identify. However, if you give Mundie the benefit of the doubt, he was just using the wrong metaphor and didn't mean that some people wouldn't get the keys to the castle. Would an "internet license" that demonstrates your identity but has no entrance requirements and no way of being denied or revoked be as directly correlated with censorship?