I support anyone in a Red Sox uniform and hope for them to succeed. However, in the spirit of the thread, I think I can sort people into a few tiers...
-A few faves: Betts, Bogaerts, JBJ, Benintendi, Pedroia, Sale. (I fully admit I have a bias towards homegrown players, and well, how can you not love Chris Sale?)
-The next tier: Kimbrel, Price, Porcello, Ramirez, Rodriguez, Moreland, Vazquez.
-Meh: Leon, Pomeranz, Young, Wright, Castillo, most of the current bullpen guys. (You can add Farrell and Dombrowski here, actually )
-I don't "hate" anyone, but...could do without: Sandoval, Craig.
The OP seems to suggest you have to either "support" or "hate" a particular player at all times to be consistent, but my list is continually subject to change based on performance, health, and other factors.