It isn't like they won't make right-wing movies if said movies make money (ex: Passion of the Christ).
Horrible example. "they" didn't want to fund PotC which is why Mel funded the entire thing himself (and made a ...ahem....killing). The movie made a lot of money. There hasn't been a bunch of knock offs by "they" since then either.
(and to squash the assumptions....I'm not a fan of Mel and have never seen PotC)
Fine, let's use Forrest Gump as an example then.
The 20 year old film that mocks dying for your country? Weird. Red Dawn would be a better example.
But I agree with your original point, Hollywood cares first and foremost about dollars. But they also (generally) don't like conservatives* and tend not to make movies for them....which is fine.
*though probably not as much as conservatives in Hollywood would lead you to believe...it's not like Eastwood or Carey are starving (but both look like they could put on a few pounds).