Well this was a fun read. It's just the word Valuable that causes all the problems, since people interpret it to mean very different things.
Valuable = best overall player = Trout
Valuable = best hitter = Cabrera
Valuable = best statistical offensive season = Cabrera/maybe some love for Chris Davis
Valuable = best player on playoff team = Cabrera
Valuable = best production per salary = Trout ($510,000 versus $21,000,000 for Miggy and $3,300,000 for Davis)
and so on...
Personally, I weigh the production per salary more than most people would, so for me Trout comes out ahead since he was probably the best all-around player in the league this year, too. If I had a vote, it would have gone to him. I'd give the Hank Aaron to Cabrera though.