For someone who is "tired of hearing about the Attitude Era" you sure do make a lot of threads about it.
The time period in which it started came down to 3 occurrences...the formation of the NWO, DX, and Austin 3:16. I believe they all were in 1996 no? Ecw had it's part in it too as Vince began to borrow from them a little in terms of content.
As for the stars of today surviving back then...I think it's easier for us to just assume that they are using the gimmicks they have now just to see if they could cut it.
Daniel Bryan- Prime example of why we can't use his actual start in the company as he was fired early on. He would've never got another chance back then. I think he'd be similar to the rookie Kurt Angle the way he got the crowd involved. The Daniel Bryan as a heel when he first started the YES thing would've been just fine. He would've easily been in the IC title picture from the start with this gimmick.
Cm Punk- As many have pointed out, I think he'd be right there with Jericho (who was able to steal a main event spot at Mania although it was at the very end of the era). He'd probably be better than he is now because he could let loose on the mic.
The Shield- these guys would be even better hands down. They are more of a unit and machine than what the Corporation had with guys like Bossman and Test. Again, like others mentioned, I could see them in this role since they basically play that now.
The Wyatts- Perfect fit. The way Taker used The Brood ...I think he could use The Wyatts, but only when The Wyatts were kicked out, they'd put up a MUCH better fight than The Brood did, and I could see Bray feuding with Taker in a long program as a face.
Ziggler- I think would be fine as a heel. He'd need to stop doing the fameasser and stop shaking his ass ala Billy Gunn, but other than that he'd last. I could see him getting the IC title for sure. He is good in the ring and is charismatic.
Del Rio- he'd be a perfect heel. This guy is awesome when he had all the tools he needed...entrance vehicle, ring announcer, pyro, suits, girls, etc. He's a dirty bastard in the ring and backstage now, imagine if he had a tv-14 rating to work with?
Cena would've been fine if he started out with his thug gimmick first. Orton too. He's another violent bastard...you take the reigns off him and we'd be able to see more of the real Randy. Batista and Brock would've been beasts and I don't think anyone denies that.
We can't forget that WWF had some pretty bad talent in the mid-under card. After Angle, Jericho and Benoit, the mid card was pretty uninteresting...as was the undercard. That's where WCW had them beat. I'd watch Glacier, The Cat, Norman Smiley, Alex Wright and his stupid dancing lol, The Mystro, Wrath, etc over the Oddities, Headbangers, Godwins etc....you could easily insert any of the guys from now into their spots and these guys would shoot up the card and get even more tv time.