The closest equivalent to their "call to prayer" which is really a prayer affirming the arabian moon god is the only god, would be something like the Apostles Creed.
That would be the thing to do: All churches in Hamtramck, and all the non-mussulman neighbors of the catarwallering mosque should play, at the same time and at the same volume as the islamic broadcasts, the Apostles Creed read by the evangelist, bishop, or Cardinal of their choice.