O.K. Here's another couple of ideas.
If I were Gibson, and I wanted to buy another company that made guitars, I'd go downmarket. I'll bet Fender is cleaning Gibson's clock at all price points, but especially in the lower end. A new MIM standard strat costs, what, $199? Gibson can't sell even an Epiphone-branded SG or Les Paul for that kind of money. So, they're losing out on all the young kids who are just starting out. You want to establish brand loyalty as early as possible. (I know that they have those "Les Paul Jr. starter packs," but I bet they're not big sellers.) More than anything else, I think that Gibson needs to find a way to compete in this low end market. We can rule out Yamaha, since it's part of a huge entertainment conglomerate that also makes things like motorcycles and snowmobiles. Peavey is an extremely diverse company that probably sells TONS of stuff. In fact, I wouldn't be surprised if Peavey is larger that Gibson. Probably too big to aquire. Gibson might take a look at a company such as Ibanez. Ibanez would give them a well-known brand name that can compete in the entry-level market. In fact, it would simultaneously give them a series of inexpensive instruments in a variety of categories - electric guitars, acoustic guitars, and basses. Gibson could then have instruments positioned at all three price points - low end (Ibanez or whatever), mid-range (Epiphone) and high end (Gibson), to compete head to head with Fender's three series: Squire, MIM & MIA Fenders.
Another approach for them to consider would be to buy Line 6. This would give them expertise in modeling technology for both amps and guitars. They could also offer Variax-type features on Epiphone and Gibson guitars. Remember that Fender already has access to this technology, through their affiliation with Roland. Fender, therefore, wouldn't HAVE to buy another company. They already have the resources to develop Variax-type guitars and Pod-like amp simulators in-house.
Good question, Garry! It's certainly something very interesting to consider.