I can dig that set. The finish looks cool and the black nickel(?) hardware is a nice touch. First thing I'd do is take the 20" bass drum to Stan at Pro Drum and have him cut it down. Lop 4" off each side to have a nice little 12x20. Always liked that size, and it seems like it would fit in with the shallow tom motif.
The tom depths don't bother me at all for whatever reason, and I'd proudly use the 23" bass drum, if only to set off that deep flow of DW hate. I'd name my band Hype Machine and have a sweet logo head put on the 23 incher. Instead of the little DW logo at the bottom of the head, I'd have "Neil was right about this size" in small print.