Ours sounds the same - 2 shelves high, plasma on top (that I've told DH has to be wall mounted before Izzy gets hurt or the TV smashes) and open front with DVD, Video, CD player etc..... Surprisingly although she loves to push buttons occasionally the worst that has happened is that she has used the wooden edges as a teething toy there are scratches all along it that we now can't fix! gosh I'm babbling but could you put a cloth over it all somehow so it covers up the stuff at the front and you can still access it and the remotes will probably still work?? That is what I would do if I had my time over. We also have just taught her that there are things she isn't allowed to touch and by saying "no honey you can't play with that" and removing her and distracting her, she has learnt not to touch some stuff.
Good luck - it's a toughy!