Depending on what time of the year it is, there are two options: one big happy Federated Commonwealth (early 3057), or a Lyran Alliance and a Federated Commonwealth (in name only). All them are ruled by House Steiner-Davion. It is just a house divided.
Also, since you added Nova Cats and Vipers it might be fair to add other minor factions too; most notably St.-Ives. Perhaps the Word of Blake. One might even consider the Arc-Royal Defensive Cordon or Free Skye.
PS: before you note that there has not been a FedCom before in MWO, let me tell you that is correct. Until the death of Melissa Steiner-Davion in 3055 LyrCom and FedSuns were technically still two seperate states (albeit, curiously, with a unified military since the early 40ies). But now that it is 3057 in MWO, things have changed.
Edited by FLG 01, 19 July 2017 - 10:56 AM.