@Oscar I was hopping around with some folks, apparently the olefin coolants are not all that difficult to work with and don't require equipment that would take too much space, if your assertion about the JFs having an issue with space is true then it means that even its base design must be taking quite some load with all the additions, this is one issue with all fighters which fall under the light category, no real estate, except the vipers which started out quite light (in comparison to what it is today) but the muricans spent the requisite moolah to get it to work as well as it does with all the added weight.
Although I think a lot of posters don't seem to be appreciating the sheer impossibility of redesigning the radome or enlarging the dimensions at this stage. Reminds me of folks this side of the fence who want the Tejas to carry everything including the damn kitchen sink.
Its an issue of both space and cooling power. After all, the radar sucks up a lot of juice, so does the cooling system.
The solution available(or seen) for this problem may be along the lines of this
High performance thermal cooling for radar electronics components and enclosures, Thermacore Inc.