I think you need to be a little more specific on what you say - people use the term PE to mean a lot of things.
If you want to break into the buyout landscape than I think you would be safe going consulting or IB (choose lev fin or M&A groups)
If you want to break into growth equity the same jobs apply but you could add more product groups to IB (technology, oil&gas, etc.).
CFA is pretty meaningless. It is a nice to have not a have to have.
If you want to focus on say like VC then that is a bit more of a complex route you can do it from many options: 1) a startup, 2) IB, 3) business development company, 4) secondary markets broker (very hard to do but I have seen it done)
Once you focus more on what you would actually like to do within the big world of PE its easier to fine tune your goal.
All in all - as others have said - a top tier MBA is not going to hurt you.
BTW by way of background I have worked in PE (growth / VC) for 4 years now.