Jon Gray, Blackstone president, Dario Amodei, Anthropic CEO, and Patrick Healy, CEO of Hellman & Friedman. PATRICK T. FALLON/AFP via Getty Images; LUDOVIC MARIN/ Getty Images ; Kevin Dietsch/Getty Images Anthropic has partnered with private equity giants to create a $1.5 billion "McKinsey of AI." The unnamed firm will build playbooks on AI transformation inside and outside PE portfolios. Blackstone, Goldman Sachs, and Hellman & Friedman are joined by a consortium of other investors. Wall Street and Silicon Valley are betting that generative AI will kick off an Industrial Revolution-sized paradigm shift . And who do business leaders call when they need to make a change? Consultants. Anthropic is teaming up with some of Wall Street's biggest investors for a $1.5 billion joint venture for "AI-native enterprise services" — or, in easier-to-understand terms, the "McKinsey of AI," said one insider with direct knowledge of the deal.…