Sounds interesting, I'd like to play it. But the way you describe it, it sounds like it could be quite complex. Can you finish this in a month? (I don't think I could.)
Do you think of this as an action game (where the focus would be on relatively simple interactions under time pressure) or more of a puzzle game (where the challenge would lie more in how multiple objects interact with each other)? Answering this question might help you to narrow down which mechanics you *really* want and need, and if you end up with a lot of time left after implementing those, you can always add more.
Whatever you decide to do, good luck with your project!