While I disagree with his points, even from a religious standpoint, and a few of them are just ludicrous, the underlying issue of a religion that (in most current aspects) believes in theocracy (government run by a religion) being compatible with a secular, First-Amendment style democracy or republic, is a real one.

Christianity once was largely a theocratic religion. For the most part, it got over it, and the First Amendment (no government establishment of a religion) was one of the final nails in the theocratic coffin.

While there are certain basic differences, I see no reason that Islam cannot do the same thing over time. Don't know how exactly it would be done.