Kardashev Type II is mentioned three times in the doc.

> We believe the next paradigm shift for humanity is the creation of a resilient, perpetually expanding spacefaring civilization that drives continuous innovation across new frontiers, ultimately propelling us to Kardashev Type II status—a civilization that harnesses the full energy output of our Sun.

To be fair, he's not claiming here that SpaceX will accomplish this themselves, solo.

Shhh, that's SpaceX's real play. Put a giant sun shade between the Earth and the sun, and make everyone on Earth pay for sunlight. No pay? No crops. No food. Solves global warming.