Mitt Romney and the Art of Logic

Mitt Romney made a most peculiar statement yesterday. In response to a reporter's question on whether Romney would name a Muslim to a cabinet post, the Republican candidate for president said, "based on the numbers of American Muslims [as a percentage] in our population, I cannot see that a cabinet position would be justified. But of course, I would imagine that Muslims could serve at lower levels of my administration.”
Weird logic from a man who is himself a religious minority still reviled in some circles. By this reasoning, should he be running for the nation's highest office? After all, if I may doctor a quote, "based on the number of American Mormons, I cannot see that a presidential position would be justified." He didn't say that but then he could've.