No way United would get through the DOJ. Southwest “might” make it through the DOJ, because of the route structures compatibility. However, US Market share would likely knock Southwest out from DOJ perspective. From a Market Share perspective Alaska would have the best chance of getting through the DOJ.
However, the aircraft mix, corporate cultures, and economic challenges are likely going to be a bridge too far for any of them. BJ is barely managing the ship as it is and Alaska still has potholes to fix from the Hawaiian merger.
It is going to be an uphill climb for B6 to get anyone to the alter.