Alaska would likely only be interested in their routes and gates on the West Coast.
Alaska's current strategy is to be the dominant carrier in western North America. Jet Blue is primarily an east coast carrier, so it's not a good match for Alaska's business plan.
Alaska aggressively went after Virgin America because of VA's California presence. Alaska had pretty much taken over the Pacific NW, but that market is just a fraction of the CA market, and Alaska was not a big player in CA. So, Alaska coveted VA's gates and slots in major CA airports, intra-CA routes, and routes to the east coast from CA.
Alaska acquired Hawaiian to continue to build their presence in west coast, and to dominate the Hawaii market from the west coast, and it also sets them up in the trans-Pacific market.
Alaska's sees Delta as their biggest threat. A major concern for Alaska is to make Alaska more attractive than Delta to western North America frequent flyers who buy high value tickets. In that regard, it is key for them to be part of an airline network that spans the globe. That is why they had to get into OneWorld, so that frequent would be able to use their miles to get anywhere they wanted. OneWorld also needed Alaska, because without Alaska they had a big void area in western North America. Another key concern for Alaska is to ensure that their frequent flyer program is more attractive than Delta's.
