BlazBlue:
R1: Alex would probably end up randonly wandering around then heard about some Grim Reaper and see what the hell is going on since he felt confused on why the world is so screwed up, him not knowing that the Dark War happened and 80% of the world is gone. Though he would get yeeted by Hakumen if he comes across the guy first since the Power of Order would sense Alex Mercer and Hakumen exists to destroy evil. Not letting the guy get the talk in Hakumen pretty much stomps Alex and Alex would get annoyed and assumed he can consume Hakumen but failed thus ending Alex's life.
R2: Alex would probably end up consuming various people and helping Ragna along with the way and might end up being a huge pain in the ass for Terumi, Relius and Izanami but in the end Ragna and Alex teaming up would be an awesome endgame battle against Susano'o.
R3: Alex starts wrecking shit up with his virus until Kokonoe and Relius teams up though reluncitly and devised a cure, then has Hakumen and Ragna corner Alex and murderstomp the poor guy, to death.
R4: Well this will be tricky since P2 Alex would be smarter and would probably end up trying to consume Ragna first given that he knew that Ragna has the Azure Grimoire but ended up dying when he pissed off Ragna, so same as R1 but with Ragna instead. Though if it was with good Alex Mercer from P1 then he would probably be the biggest help since he isn't held by, being an Observer and would be a great boon for Rachel, Ragna, Kokonoe and many others against the battle with Terumi, Relius and Izanami. For wandering I feel like Alex would want to try and assist Ragna agianst Terumi, but that depends honestly since Alex would be first trying to discover what happened to the world since at heart he is a scientist, and most likely join Kokonoe in Sector Seven and create sweet science.
Guilty Gear:
R1: Alex would probably end up randomly wandering around then heard about something about Gears making Alex confused on where the hell he is, though finding out he becomes curious and ends up becoming a researcher in the world.
R2: Alex would probably end up trying to help Sol Badguy and would be an awesome helper in consuming his foes such as I-No, and such.
R3: Alex starts wrecking shit up with his virus until a few characters such as That Man finds something to cure the virus and sends Alex to the Backyard and it deletes Alex from existance with ease.
R4: Well this will be tricky since P2 Alex would be smarter but like R3 he would end up dead if faced Sol Badguy at fullpower or get thrown into the Boundary. However P1 Alex Mercer would be a great benifit for Sol Badguy for beating That Man. With the wandering he would probably join a science devision and began researching about the Backyard and want to discover the many theories of what it can do.
Shin Megami Tensei:
R1: Alex would probably end up randomly appearing in some hellhole (depending on what version of Tokyo in the Shin Megami Tensei games) and having to deal with demons, angels and other crazy shit.
R2: Alex would probably end up consuming various people trying to survive at first then began trying to help any of the Shin Megami Tensei protags though he would probably choose the neutral path and say screw the law and chaos he is doing he is own thing and the protag (depending) would probably chose as well. Though if it was Shin Megami IV: Apocalypse then he and Nanaki would destroy God and everything due to their nithilsim.
R3: Alex starts wrecking shit up with his virus until he comes across demons, angels and Gods and ended up dead.
R4: Well this will be tricky since Alex would be smarter and would probably end up trying to survive but sadly like R3 he would die. Though same with P1 Alex, he would be a good help and would probably be a big threat against the supernatural. With the wandering section it would be him just trying to live and survive dealing with the annoying crap.
Devil May Cry:
R1: Alex would live his life normally and not want to get involved until demons pop up and would have to deal with it though might get into a fight with Dante or Nero and end up getting killed by mistake by the demon hunters.
R2: If it was in DMC 1, and 3 then Dante would have a massive help since Alex would be consuming demons while Dante gets Demon Arms and kicking ass. If DMC 4 then I feel like Alex would help Nero but also mock him, then if DMC 5 I would feel like Alex would be sick of the shit and help though would not probably allow V to rebond with Urziel thus ending Vergil's return, leaving Nero never knowing who his father is.
R3: Alex starts wrecking shit up and this causes Dante to go full power mode to stop Alex realising how much of a threat he can be and stomps Alex.
R4: Well this will be tricky since P2 Alex would be smarter and would probably end up trying to consume either Nero or Dante but would end up causing enough destruction, though in the end Alex gets stomped. P1 Alex, is pretty much a helpful killer and would assist Dante with his troubles although since he knows what is going on he would probably rudely tip Dante off about Rebellion and Devil Sword: Sparda and that he can fuse them together. If this was him wandering...I think he would probably assist Dante, or if he was where Neo was in DMC 4, then he would join in the Order as a scientist and then screw over the villains in that game.