It makes the most sense for the C-130Js to go to LRF, simply because the AFRC unit there has no mx backshop facilities of their own, and the AD facilities they would have to use are J-specific. They don't have that infrastructure set up yet in NC, and the H-models there are already well-established.
The primary reason why AFRC wants to move the Js out of Keesler have more to do with the fact that they've never really been able to get mx fully manned down at BIX, and during storm season, the slick Js suffer in order to keep the weather birds ready to go. Moving them to LRF will give the AD access to a few more tails and result in an overall better utilization of the aircraft. As for Pope, I think they will stay open, but I doubt they'll get the Js. They will likely become a normal AFRC wing.
It's interesting that MS is fighting so hard...for one, they are the only multi-squadron MAF wing in AFRC anymore. They are also one of the best funded due to the weather mission, so the BIX unit isn't really in any jeopardy of closing any time soon. The MS delegation just wants to have their cake and eat it too.
In reality, since having the 403rd go to a one-squadron (and well-funded) wing, the 913th having Js and associating with the AD, and Pope keeping their H's to keep the Army and NC politicians happy, that cannot be the possible outcome, because it makes too much sense. Instead, we'll keep the Js in MS, where they won't have any utilization with the RegAF and slick mx suffers every hurricane season, and we'll close LRF right after we hired 600+ people and unfurled the flag. That's more along the lines of how our government and DoD operate.