Everyone that is a citizen has rights, the Freedom of Press as well as the Freedom of Speech just don't overrule a peoples' right to freely exercise their Constitutionally Protected Freedom of Religion.
And no, that doesn't mean they have to let you interrupt them in their place of worship and that is specifically why the put places of worship in the Face ACT. You can argue if you want to but believe it or not, you are not the only person in the world that has ever thought about something, and they did that for a reason.
Plus, the First Amendment doesn't mean shit without the Second Amendment to back it up, because otherwise all you could ever do is just sit and *****, while being a victim of whatever else may threaten you as well.