What I find bizarre about some of the conservative response to Cordoba House is not just the objection to the construction of the mosque, but the conviction that it should be stopped by any means necessary—even if that means violating conservative principles about property rights, rule of law, and federalism.
Part of supporting limited government is understanding that sometimes, things you don’t like will happen, and the government (especially the federal government) won’t do anything about it.
Furthermore, since Islam has 1.2 billion adherents and is not going away, it is important to set reasonable guidelines that promote harmony with Western society—such as, it’s okay to build a mosque in the Financial District, and it’s not okay to blow up buildings in the Financial District. A general policy of exclusion is unworkable.