Profile Evaluation Request - Indian, M, Engineer, 29 (by admissions)

Others might disagree on this, but to be honest a profile review doesn’t do anything good. You cannot change most of those things. Ultimately it will all come down to how you present your story as a tight package, and how that narrative connects the dots of your past experience and career goals, all while being unique, inspiring and likeable. I suggest you read up on attributes that your target schools look for and map-out/highlight your story based on those parameters. Your chances will depend on how well you pull this off. Period. It will take a lot of work. Don’t let anyone tell you otherwise.

Your credentials are fine. Your high school results will not be asked, but you might have to explain weak undergraduate performance in the optional essays. Otherwise, GMAT is the best way to counter it. Aim for a 48-49 in Quant.

The one glaring issue is the long career break. I think you can tie that effort into a narrative around your motivations to enter Public Administration and to have far-reaching impact. But your previous experience and extra-curriculars also need to reflect that motivation, and your long-term goals also need to strongly reflect that. Have you tried researching about Civic tech? Basically, you will have to provide with a solid reasoning of how you feel the MBA, and not an MPP or MPA, is better suited your goals to enter policy consulting.
I'm a bit confused about your target schools, since I believe you need to lock down on 1-2 geographies you want to work in post-MBA. Those locations will depend on the amount of research you put in to see where Public Policy consulting is having greatest impact. Find people on Linkedin who are living the life you're dreaming of and talk to them at length. You will have to describe your goals in granular details to communicate that research to the Adcoms. Also research schools and see which ones have electives around your objectives.
You could also take up Public policy courses on the side to make your case stronger by the time you apply - Takshashila Institution has some good ones.

But make sure that your interests for pursuing your goals are genuine and that you've thought about all this at length, backed up with solid research. It really helps in the essays and interviews.

If your aim is consulting, you should also add IESE & LBS in your list of schools., but the choice will ultimately be governed by target geography. Some schools like Oxford, Harvard, Wharton & Tuck offer a 1+1 MBA + MPP/MPA degree. See if those suit you.