Well, you have some great stuff here - good long PE experience along with an amazing GMAT. IT depends also on some other things I don't yes know about you, but I feel like a top program is within your reach.

However, H/S remain a stretch for you. As excellent as your numbers may be, they have the wealth of choice of candidates whose numbers and experience is as great as yours. And your experience needs to have something exceptional in it, especially if they are to choose someone who will do their second MBA over someone who has not yet done one. This exceptional thing could be your goals, your family business, amazing results or promotions, volunteer work, etc. So you need to look for that, but still, the most competitive schools will remain the most competitive.

At Booth, Columbia and LBS you should have a better shot, although still you may want to add another school or two to your list.

Yes, especially for Harvard: Write super-tight, very professional essays. And show in any way that you can that you are one of the best in your industry, and I mean best in the whole world.

And your recommendations need to be at the same time professional, but also gushing with support.