Ann Arbor, Michigan (the location of the main University of Michigan campus) has a Church Street and a State Street, but they do not intersect.

I read a joke that went: In Ann Arbor, separation of Church and State is about three blocks.

I stumbled across an amusing sequence of streets in Brooklyn, Indiana. When you leave Home Avenue, you can go one block west to Church Street, or one block east to Hooker Street.

I know that Church and State intersect in Chippewa Falls, WI.

Church and State intersect in many of the cities I've lived in! They are common road names.

That's what I thought! But I don't know any of those intersections personally.

There's in intersection of Church Street and State Street in Champaign IL.