> As long as the soap isn't antibacterial, it shouldn't exterminate everything.
All soap is antibacterial.
This is true. Soap's purpose is to literally break down the cell walls of bacteria, some are more resistant so antibacterials are needed depending on the constituents of the cell wall
These aren't bacteria though, they are animals. It's unclear whether antibacterial soap has much of a detrimental effect on them at all.