Checkmate.
Except the Air Force is alternately trying to get rid of them to protect the F-35, then upgrading them to maintain close air support and not look bad, then trying to get rid of the A-10 to protect the F-35 again...
Also, the APS is supposedly capable of taking out the Hellfire missiles in flight - the competing Israeli APS is certainly capable of doing so. The A-10 would have to use its gun.