Should backup alarm be wired with the backup lights on a bobcat skid steer?

Yes.

A Bobcat skid loader does not have backup lights, it has driving lights and worklights in the rear. The backup alarm is wired to 2 switches under the seat the work off the steering levers, when you put the levers in reverse it activates the switches aqnd the alarm kicks on, assuming of course the the horn on the back door of the machine is functioning