I'm torn. I don't want backdoors but I do think police with a warrant from a judge should be able to access your phone.

There's a top tier DEFCON talk by the Lavabit email guy. He explains where the line is for access to phones and other encrypted information. I'll try to summarize -

1 - Law enforcement have actual information about the probable contents of your phone (like an incriminating filename will do). They can reasonably expect to get a warrant and access to your stuff.

2 - They don't know what's there at all, and have no probable indication of the contents, and in this case they cannot expect access because they would just be going fishing.

Having said that - backdoors are bad.

I assume if they were fishing the judge wouldn't sign a warrant.

Then you must provide access to your phone or be held in jail indefinitely / until you comply for violating that court order.

I'm reminded of Mr. Fart's Favorite Colors here - is it even possible to provide warranted exception, protected from abuse?