Is this better understood as a miltary process, an adversarial one, a political one, or something else?
What state's interests did William ultimately serve? England's? Holland's? Both? Other?
Tiny correction: William III was stadholder of the Netherlands, not just Holland, and he installed himself with a bit of help from Parliament. Two years ago Scott Sowerby held an AMA on England in the seventeenth century, including a lot of questions on the nature of the event you're describing, the so-called Glorious Revolution.