Unless I'm mistaken, the matchmaking service eHarmony.com was forced to include matchmaking for homosexuals. Disney Theme Parks are private organizations, but can you imagine the fireworks if they moved to prevent homosexuals from entering the parks on Gay Day? Disney Co. couldn't stop Gay Day even if it wanted to -- many here assume that it doesn't, but I expect that many in the company would love to put a halt to Gay Days but know better than to say so publicly. So instead, Disney withdraws and says, with genuine credibility, "Sorry, folks, there's nothing we can do about it."
No, I don't think the "but it's a private organization!" would prevent lawyers advocating the gay agenda from using anti-discrimination and civil rights arguments to sue said private organizations into the stone age.