I don't think they would need to. Should coin base be brought down, confidence in bitcoin will be wounded badly, and investors will begin to sell their BTC leading to a crash in the price.
This has been expected to be fair. Bitcoin is without a doubt the most important creation of our generation. When enough people become aware of its true potential, it will bring down the banks that have been enslaving us for centuries.
When the internet changed hands a little while ago, most people speculated that it would be to shut down alternative media or perhaps to shut down the entire net while the UN invaded the US. I never bought into those theories. I thought then, and still think now, that Bitcoin is what they are most afraid of, and because it lives on the internet if you shut down the net then you shut down bitcoin. This is most likely the reason for the internet changing hands after all this time in my opinion.