The pieces we currently have could fit around Monroe, we just would have a roster that is constructed differently than is currently in vogue. The fashionable way to build a team right now is to run your offense through a perimeter player who can get to the hole at will (LeBron, Harden, Paul, etc.) and have him run pick and rolls with an athletic big (Mozgov/Howard/Jordan). On defense, that athletic big man is the anchor of your defense. By signing Monroe we could sort of flip that on it's head. We'd run our offense through a big man down low and ideally surround him with perimeter players who can shoot and defend. Bradley and Crowder both fit that mold, and Smart's shooting this season was quite a bit better than advertised. No reason to think he couldn't get there. The problem with a Smart/Bradley backcourt is that neither of them is a great penetrator, but if we run the offense through Monroe (a very good post-up player and passer), they don't have to be and can play more off the ball. We know Bradley is a great cutter and Smart could learn. Similarly, Monroe isn't a great shot blocker, but he doesn't have to be if he's playing with guards that don't allow much dribble penetration. If we sign Monroe, re-sign Bass, and draft Justin Anderson, that gives us:
PG: Smart
SG: Bradley
SF: Anderson
PF: Bass
C: Monroe
This lineup is unconventional in that the key to the offense is the center and the key to the defense is the perimeter players, but I think it could work on both ends. If we expect Monroe to be DeAndre Jordan and Marcus Smart to be Chris Paul, it'll be a train wreck because we'd be trying to fit square pegs in round holes, but if we give Monroe the ball and let him go to work down low with Smart and co. spotting up around him, I think it would actually be a good way to maximize the value of the personnel we have.