I know the predominant opinion of the board will be "no, it can't happen". The question I'd pose in return is, "why not?".
Yeah, we'd be getting the better talent but there are so many other factors that hold equal weight in trades. It's how a team like the Pacers could get Evan Turner for an expirer and how the Cavs were able to get Spencer Hawes for an expirer of their own. More importantly, chemistry, not talent, wins games, which is why the Cavs are out of the playoffs and the Bobcats and Hawks made it. So why do the Cavs make the deal?
They are desperate to build a winner to appease Kyrie and acquiring a guy like Tyson helps to further that end (especially when you consider the defensive lapses they have). With Loul Deng, Jarrett Jack and (potentially) Tyson, they'd have the opportunity to develop that culture, necessary to take the next step. When you also consider that Chandler is a superior player to Anderson Varejao (e.g. better pick and roll player, just as good a rebounder, a better help defender, a better man defender, has been healthier in recent years, etc.), the deal is a wash in their favor.
The Shumpert-Waiters aspect of the deal though is clearly a wash in our own favor. Even so, the Cavs benefit because Shumpert is a far better FIT at the 2 spot next to Irving. Considering how dynamic Kyrie is, all you need is a guy that can shoot the ball and defend his position, which Shumpert provides in spades. With some minor tinkering, I think we'd have the framework for a deal.