If you figure out how to identify those 10% and get the business on board with following that, I’d suggest skip the buying companies part and just sell your consulting hours at triple McKinsey rates.
McKinsey doesn't get brought in on the basis of their competence even though it's of course part of the image they project. If you want to go with quality work you'll have to buy your way through because the upper management doesn't have a clue about tech and you will not be able to justify your higher rates if you're a nobody.