All bats do NOT have rabies.

It is a myth that all bats have rabies. Though bats can contract rabies, they are not more susceptible to the disease than any other wild animal. The highest incidence of rabies is claimed to be the vampire bats indigenous to South America. In the United States the incidence of rabies in bats has been placed at a fraction of a percent. A higher incidence of rabies has been reported in skunks and foxes rather than bats. As with any wild animal, you can't tell if they are infected with rabies so you should never handle a bat.

Bats Are Handled by Humans

Though a small percentage of bats do have rabies, bats are the number one source of human contracted rabies in the United States according to the Centers for Disease Control (CDC).  Most cases of humans contracting rabies through bats were due to handling the animal as in cases where the bat entered the residence and the inhabitant attempted to capture and remove it.  Even these cases are rare resulting in one or two cases per year.