The nomads are not seeking to infest all humans. Humans are vermin in their region of space. The only reason infestation occurs is to manipulate humans to aid them in their plans to cleanse the galaxy.
The Rhineland-Kusari war would be devestating to both sides, leading to huge loss of life and military assets. The GMG would be caught in the thick of it, and also be weakened.
Meanwhile, Rhineland would also invade Bretonia and most likely be defeated.
Increasingly opressive laws and leadership would lead to civil war in Liberty, with the "people" ultimately loosing. Bretonia would likely be flooded with refugees, with places such as Freeports and Planet Curacao becoming colonies for refugees.
Having lost it's workforce and thus, all economic drive, infesting nomads would encourage the Liberty dictatorship to turn imperial, sending fleets to bring new planets and populations under their control. This would first effect the independent systems and then lead to war with Bretonia suffering it's own problems of massive immigration, unemployment and overpopulation.
All Order forces in the Omicrons would be obliterated, with Planet Toledo either cleansed of all populus or completely destroyed by a planetkiller mothership.
War between Imperial Liberty and Bretonia could go either way, but Liberty would have nomad technology at its disposal, aswell as it's natural technological superiority to the other houses from vanilla (partly stemming from Valhalla).
If Bretonia was defeated, Liberty would not find the resources and economic drive it was looking for, and would instead find too much population to sustain. This would be solved by racial cleansing, with use of work-camps to provide economic drive, and a gradual process of elimination of non-libertonian people in the Liberty empire. Traitors to Liberty (those who had fled Liberty for refuge) would also be put to death. This would serve the Nomads' purpose by eliminating significant human population and eliminating those who would be more likely to oppose them.
An uneasy alliance may exist between Liberty and Rhineland encouraged by the fact that their leaderships are widely infested.
Liberty and Rhineland would unite against Kusari and the house would be overrun. Once again, ethnic cleansing would be used for the purpose of securing resources for the 2 victorious houses, whilst in effect removing human populations as is the nomads' aim.
Eventually the Nomads would reveal themselves, move in and aid Liberty and Rhineland in eliminating the remnants of the other houses. Propaganda would revere them as friendly and benevolent aliens who have been watching over our civilisations and are happy to help eliminate weaker elements of humanity.
After Kusari and Bretonia is completely eliminated, the Nomads would turn on their human allies, with infested ship commanders and admirals destroying their own ships, and the Nomads using their ships to destroy human-space infrastructure such as stations and docking rings, containing human populations on their planets. This would be followed by planetkiller motherships destroying some planets, and other planets being infected by nomad-engineered bioweapons/pathogens that would destroy remaining human populations.
Meanwhile, the Outcast cult that worships the nomads would likely gain control and spread their influence to eventually take over the empire. Nomad technology would be incorporated into existing and already advanced Outcast ships.
The Corsair empire would shrink as it looses the income from the Artefact trade due to Liberty becoming an extreme police state with a very small population. Loss of trade traffic between the houses would lead to loss of the rest of the Corsairs income, so they would begin selling away materials from their own bases and retreating back to Crete. Other than the couple of Corsair Osiris ships built before 800.A.s. the Corsairs would have no warships. The Outcasts would likely overrun the Edge Nebula, taking over Freeports and eventually overthrowing the Corsair empire, likely putting the entire civilisation to the sword.
The Outcasts would then likely welcome their Nomad masters into their space, at which point the nomads would turn on them and destroy their populations and bases.
The last remnants of humanity would probably be space-based groups, furthest away from the Edge Nebula, and the most secretive of groups. The Blood Dragons, GMG and IMG would likely make up the final remnants of humanity. They would be defeated by the Nomad scourge, who would finally cleanse the Sirius sector of all human population. Afew samples of the species may be kept and bred for study, but for the most part, humanity would be made extinct.