Quite frankly it's not all that difficult. England under Charles II and James II was sliding towards absolutism, either in the French style or at least in the style of the Carolean era of Sweden. The Monarchy of the 1680s was probably the strongest England had experienced sense the civil war; I'd argue that a failed Glorious revolution would easily end in the establishment of a semi-absolute monarchy, if not outright absolutism. The next Parliament would likely be forced to grant perpetual taxation for the regular income and possibily more; the Crown already controlled the judiciary, so it wouldn't be hard to get the Judges to rule in favor of more and more absolutist policies, like the ability to suspend laws and such, until ultimately the Judges ruled that the Monarchy had the power to raise taxes on its own and make laws with the prerogative. It would be unpopular as hell, but doable.
As for the civil war, I think it's very telling that 1660 didn't see any real attempt to curtail the powers of the Monarchy even though Parliament could have attached multiple clauses to the Restoration. Hell I've read that the civil war actually helped the Monarchy later own, as the Stuarts and the Tories could point to it's aftermath as an example of what could happen without the Crown to protect property and religion.