There's a sort of prisoner's dilemma. If you make a fuss you'll get branded as anti-progress and sidelined. If you put your head down and just do what you're told you're a team player and will probably survive.
Aside, there's a lot of stuff online re McKinsey. I suggest searching HN plus also search "Confessions of a McKinsey Whistleblower" in your fave web search engine.
My favourite was the LRB article "When McKinsey comes to town" -- see https://news.ycombinator.com/item?id=33869800