People who argue about the terminology are generally wrong. Although it is a clever tactic: trying to use someone's minor slip-up as a diversion away from the real matter at hand.
Also, stopping Muslim immigration is impossible. I mean, if they're so bad you don't want them in the country, why is it impossible for them to lie about their religion? Please, answer this, because the way I see it this is like every other Trump policy: very poorly thought-out and devoid of logic, relying on emotional appeals ("Muslims bad" as Cruz said).
Funny you mention that. One of my high school teachers happened to be a massive libertarian and had indeed floated the idea of how much better America would be if we went back to restricting the vote to property owners.
I feel compelled to point out that most libertarians don't think this way.