Yeah, he chose the 22ohms so that the gate capacitance would charge faster so you could switch the FETs faster. You might not need them at actually- only if your FETs turn on too fast and make too much noise or other problems.
There is a difference between the voltage that a transistor can withstand across it's primary terminals and across it's control (base/gate) terminal. SO a 600V transistor can withstand 600V across C-E or D-S, but it can only take a maximum of 20V at B (or G). He's asking because you might be thinking of powering your gate driver form the same source as your motor and if the source is too large you will destroy your transistor bases/gates. Check your datasheets for all your NPNs, PNPs, NMOSs, and PMOSs.