The first problem with your suggestion is that Disney apparently thinks possessives are stodgy now. The cool, 21st-century thing to do is to disregard the basic rules of grammar and write things like Disney California Adventure. So let's start by changing your idea to Disney Cinematic Adventure.
The second problem is related to the first. Adjective forms are out. Just use more nouns. So now we're at Disney Cinema Adventure.
The final problem, though, is that the word Cinema is too broad for a park that is no longer about Hollywood or movie-making in general, but merely about that corner of it that contributes to Disney's bottom line. And what's the one word, the only word, that really describes what this new park will be about? You guessed it: Disney itself.
So I give you the new, complete, focus-group-tested, board-approved moniker for the park: Disney Disney Adventure. You heard it here first!