do your power supplies have 2 connections, or 3?
your drawing shows 2 but some have 3: power, return, and ground
if return and ground are not connected, use those as the two connections, as in your drawing
if return and ground are connected with a jumper, remove the jumper and use power and return as above.
if there are only 2 connections, then use a cheater to disconnect the grounds at the wall socket.
that is, a three prong to two prong converter. which removes the ground connection