Is the KICKR CLIMB compatible with PerfPRO?
Yes. The CLIMB is not paired up with PerfPRO at all. It is paired up with your KICKR so all communication to the CLIMB is done through your KICKR. Follow the instructions for your CLIMB to pair it up with your trainer. In PerfPRO, when riding courses PerfPRO tells your trainer what grade to ride at. The trainer then tells the CLIMB what pitch to go to.
The exception to this rule is if you want to use your CLIMB in ERG mode. In this case, your KICKR needs to be setup as a Smart ANT+ FE-C trainer in Studio's Trainer Setup options rather than the KICKR option. You can then ride in ERG mode and your trainer will adjust accordingly.