The Technocrats.
Having seen what the foolishness and frailty of biological humans has wrought, this group turned to technology to survive the nuclear exchange and build a better future. Originally based in London, the group has used their scavenged technology to spread recruiting stations and outposts accross former Britannia and Ireland, looking to expand to mainland Europe and even repairing one massive pre-war tanker for an expedition accross the pond.
Their central belief is that biologicals are ruled by harmful emotion, and unenhanced bodies are frail and weak. No body modification, as long as it leads to clear benefits is forbidden and is in fact actively encouraged for all members. It is common to see members with artificial limbs, imbedded hardware and experimental cybernetics. Decision-making would have been relegated to AIs, if any existed. Instead, they seek to purge emotional effects from decision making. Everything is seen as numbers, everything is a cost-benefit analysis and computers are used whenever possible to minimize 'human' mistakes.
Fot if humanity is to survive, it cannot continue down the foolish road that nearly lead to extinction. They will enlighten or subvert (with patience, or primitive but ever developing brainwashing techniques if necessary) any individual not hostile to them. Neutral communities will be slowly subverted via infiltration, trade and other benefits such as protection. All enemies must be enlighted or killed, without mercy and delay.
Either they will succeed, or they will be shown wrong by someone proving stronger. And even that is not a bad outcome; survival of humanity both on short and long term is the one and only objective. And as such, Ghouls are the ultimate Abomination: incapable of natural reproduction (as far as they know), still ruled by emotion, but bodies more resistant that the average human with an annoying tendency to cling to life; the ultimate evolutionary dead-end with no future as a species (as they cannot reproduce without effectively killing humans). They can be spared only if they accept their status as nothing but servants of humanity, with no inherent worth whatsoever. After all, no tool is wasted if that tool proves it's worth. And Ghouls can be effective tools at construction and dangerous jobs, but they can ever be only tools wielded by Technocrats, or enemies to be killed.
EDIT: Added thoughts on Ghouls.