In this situation I'd bake them all some cookies and tell them to come on in. They are risking their lives to keep civilians safe from a lunatic. To me it has nothing to do with rights and everything to do with catching a frikkin terrorist. This kid just took part in killing and injuring innocent people. I would do anything and everything in my power to assist them in catching him.
I have nothing to hide but if it was a random Tuesday and they wanted to come in, now that's a different story...