Ron,
Don't think so. The size of the carrier is governed by the sortie generation rate required not whether it is STOVL or not. In fact STOVL aircraft can generate higher rates than conventional aircraft for the same size deck. With regards AEW this may well be provided in the medium term by long persistence UAV rather than current methods. COD is an issue but a crew of 1000-ish will require less COD services than one of 6500. As far as I am aware F35 support is a contractor responsibility?