I had the opposite reaction: wanted the Mets to win. My closest following of Phillies was in high school, 1962-5. The Mets were the hapless, loveable, underdogs starting out. The Dodger were the enemy. They also led the flight to the West Coast. My current main reason is that I would be able to feel better about the Phillies if the Mets had smashed the Dodger, rather than being smashed.
One reason I don't want to trade from our still inadequate base of minor league talent is the sense of futility in doing so. The current arc of the Phillies fortunes is eerily congruent to that of the 2008 team -- but the current Phillies are the lower-lying arc -- didn't win WS, didn't have a 100+ win team. In both runs, the Phillies initial team did best in post-season with a steady march downward in post-season, even though the team strength grew progressively stronger, as evidenced by regular season wins, as well as eyeball, largely through the addition of costly FA and trades for expensive vets. If the congruency holds, then we have, at most, one more year of contention, then back into the darkness.
The two counters to this are that the farm does seem stronger today than it was in 2010-11 and the current Phillies management doesn't show the penny-pinching behavior, which I associate with the Halladay/Lee mess and the give-away of Pence that sunk RAJ and the team.