He plans to have the fight in London and has already talked to several people about it to prepare - they are going to evacuate a few houses, set up forcefields and wards, have medics on standby, police to clear the area and reroute traffic, the works. That he was part of it is going to be rather obvious. The real question is if the other participants will be known.
Just about all of whom he has offered the out of 'We thought he was going to fight Klarion, not Doctor Fate!'
Paul would like it if people decide that Nabu's downfall is just and right and good - due to his body-theft, failure to actually
deliver on his promises of being a massively better magical force for good than Zatara (he's better in a direct fight, but the overall effect I would characterize as 'slight to nil, possibly net negative if Paul weren't constantly pushing the non-combat magic that Zatara was handling') and generally being a lying jerk (for, even if he has not lied to magic, to the League, to his hosts, he has lied to the world as Doctor Fate the pure hero, the magical master, the defense against Klarion when in fact he is none of those things...)
Heck, Paul would like it most if he can pin Nabu down, force him onto a golem, and then basically say, "LOOK. YOU HAVE YOUR BODY NOW. STOP STEALING FROM OTHER PEOPLE." or, better, if Nabu shows up and says, "You know, I was thinking about the golem body and after I realized
at Diana's insistence that the idea itself isn't inherently chaotic I did some independent research. You are too chaotic for me to work with, but put me in contact with that Sephtian fellow, he seems... passable."
But even if things go very badly, Paul's been setting up so that the worst
likely result should still be 'Nabu is off Giovanni's head and research into a compatible golem is ongoing, Giovanni will recover given a year or two of physical and psychological therapy, and Paul's reputation is tanked without harming the reputation of his allies too badly.'
