Los Angeles Dodgers manager Don Mattingly has seen this star-driven strategy play out before, back in the 1980s with the New York Yankees. His boss, George Steinbrenner, would collect a bunch of big names on a roster without thorough consideration on whether they could all fit, and then expect his manager to stitch it together.
This is how, in 1988, they wound up with 33-year-old Claudell Washington playing center field, flanked by Dave Winfield and Rickey Henderson, with Jack Clark serving as the DH. Rafael Santana was at shortstop, and a young outfielder named Jay Buhner was swapped in a deal for 33-year-old Ken Phelps. The veterans were all good players -- Winfield and Henderson were future Hall of Famers -- but there wasn't a true center fielder, and they really weren't a good match, as their defensive abilities were merely a secondary consideration. The Yankees went 85-76 and finished fifth in the AL East.
Mattingly's current Dodgers team should be better than that because they have much better pitching, with Zack Greinke, Clayton Kershaw, Hyun-Jin Ryu, Josh Beckett, etc., etc. They also have one of the best young players in the sport in the ever-improving Yasiel Puig.
But they don't fit.