The Heat maybe felt that way, but the truth is, their pieces aren't the greatest fit. Wade and Lebron are basically the other's SG, and SF version, the difference is that Lebron is a little bit better at everything (minus maybe attacking the rim). They don't compliment each other that well, if you think about it. They take turns basically, and still make it work, because they're great players, but the synergy between them, is nothing special.
With the 3D, it would be totally different. 2 guy at the two most important positions, perfect compliment to each other, on both ends. Dwight and Deron. Perfect synergy, pick&roll play, Deron's 3 point shooting, penetration. You could built a championship team around those 2, easily. But where it gets really interesting, you also have Dirk. The single best fit in the league next to Dwight. Dirk would give space Dwight, and vice-versa, and he happens to be the best fit for Dirk on the defensive end as well. It would be like Dirk-Tyson on steroids, on both ends! Perfect synergy.
Williams-Dirk? Pick&pop, all day long. Williams is one of the, if not the best penetrating point guard. A good 3 point shooter, a very efficient scorer (55TS%). Again, perfect synergy. I really don't think anybody could handle this trio. Would it mean an automatic championship? No, it would an adventure to fill out the roster with 3 huge contracts, but man, would we wanna see it?