That's no true. You'll need higher voltage batteries / generator and a better cooling system. But not higher thrust engines. AESA is actually a pretty compact system. With respect to the JFT, the size of the nose-cone is an issue, along with proper room allocation for side antenna and processors and rear antenna and processors. The JFT doesn't have proper room where needed for block I's. I'd imagine they'd structure a few things different internally for the current block under manufacturing, so that they can put in AESA's (retro to block II when the time comes).
I don't know if you guys noticed in that video, the officer made a comment about AESA being a part of the block III AND having very high track, scan and multi-target lock and fire capability. That is the key and I think the Chinese were lacking in that, as majority of their platforms can lock 2 and fire 2. This number needs to increase, so if two JFT's in an interception sortie, come across 4 SU-30's 80 KM's away. They should each be able to fire 4 BVR's (one at each SU) and the second plane does that with the distance closing up. So now each SU has two BVR's chasing after them. Both were data fed from a different aircraft so they may still have a link with one of them if one JFT was taken out. 2 BVR's each, on a jet, unless its an F-22, I think your kill chances for higher end fire and forget missiles are well over 90%. So more track, scan, lock and firing capability is needed within the JFT' radar in the future.