One of, if not my actual, favorites of all time! Never seen that kit before but I love it. Very small bass drum for him, haven't seen him go smaller then 24" since that red sparkle 22" from the EARLY Volta days... Like Eva days. He typically uses 13" hats and a 21" ride so that may help give some idea... Thinking 20" kick, 12" high tom, 14" or maybe 16" floor tom.
Ok, I now know for sure that's a 22" ride and 14" hats (I was wrong before, apparently he went up an inch on both post Volta) which does lead me to agree with @harryconway that it's probably an 18" bass which also further leads me to believe it's a 12/13" up and 16" down. His favorite drummer ever is Elvin so I wouldn't be surprised if he was drawn to an 18" bass but 16" floor tom. Jon does like a ton of punch from his kick but a ton of rumble from his floor tom (ala Elvin).