No, Styles' doesn't even have a colorful character, the entire foundation of his character is that he's insanely good a high-flier/all around wrestler, except he has even less charisma than Ricky Steamboat, and if you didn't have charisma or a character in the 80's, you were a nobody.
Roode, yes, but only after YEARS, and YEARS in the business, like where he is now, with all his experience.
Lesnar, yes, though he makes The Barbarian look like Santino Marella in terms of intensity. He's a freak of nature and would have been a great heel to 80's Hogan in his prime.
Not a chance someone that looks like Punk would have been a marquee name in the land of the giants of the 80's, he made Randy Savage and Roddy Piper look like body builders. He would have been a GREAT manager, though, even better than Jimmy Hart. Not better than Heenan, though.
Dean Ambrose, see Punk, except not as good a talker.
Yes, he'd have been like Mr. Perfect.
Jinder Mahal has Wrestlemania main event with Hogan written on his forehead, except they would have probably made him from the middle-east.
John Cena, yes, he could have been a good Ultimate Warrior-type guy, except much better on the stick and I'd have loved to see him wrestle guys like Hogan, Savage, and Andre in their prime.
Mike Kanellis. No, just no.
Neville? This is before cruiserweights were a thing, so no.
Rey Mysterio. See Neville.
Roman Reigns, yeah, his look alone, if Vince is into him now, he would have been into him in the 80's too.
Seth Rollins would be one half of The Rockers or the Rock'N Roll Express.
Zack Ryder is a decent size, but would have still been a jobber in the 80's, which is more than can be said for Ambrose.
All the women would have fit in the 80's, except maybe Carmella, she's too skinny even for women of the 80's.