First off, 1-4 is not gonna happen. You are describing the perfect season. Someone is gonna get hurt or slump. But I'll play along
No, I wouldn't do the trade. It's mainly because of BP. He's doesn't have that much time left as an All-Star caliber player and I see Hamilton as a future infielder starter, at SS or 2B. Cozart is 27 and just starting his second full year as a starter, who knows if he's a Brandon Ryan or could improve his hitting. If one of them get hurt who's taking over?
2-3 prime years from Stanton, Choo and Bruce would be amazing but not at the cost of the future of the infield. That's not considering the Starting pitching questions it brings up.