WI James II dies of smallpox in 1660?

In 1660, after Charles II went back to England, two of his siblings died of smallpox: Henry, Duke of Gloucester (in September) and Mary, Princess Royal (in December). So, WI his other brother, James, Duke of York (the OTL James II) also died, let's say in December, together with Mary?

I'm assuming that James' first son with Anne Hyde, Charles, Duke of Cambridge, still dies as an infant. I'm also assuming that Charles II would still marry Catherine of Braganza (the political and diplomatical conditions aren't changed that much by then).

So, in this case, once it becomes clear that Catherine will not give him a child, then the legal heir of Charles will be clearly William of Orange (who needs an alternative wife ITTL). However, his sister Henrietta is married to Philip of Orleans. What could happen from it? How could diverge the relations between England, Netherlands and France? And how different would be the reign of Charles II now that his heir is clearly a Protestant nephew?
 
Well, there's no reason why Cambridge shouldn't survive, given that he died of smallpox and there's no record of him being weak or anything. But let's say he dies anyway.

Now, obviously Charles II is going to take more of an interest in Willem, which may butterfly his restoration in 1672 - at this point it'll be obvious that Catherine of Braganca won't have children, so I doubt the Dutch are going to be over-keen on raising up the heir-presumptive to the throne of the guys they've been fighting on-and-off for 15 years, even if the regime which started those wars is no longer in power. The Orangists may go with the junior branch (this is assuming that Oldenbarnevelt, et al. fall as OTL, which isn't too unlikely, but the timing may be different, there probably won't be a single Rampjaar, etc.) or appoint a popular Orangist, or go for a collegiate Stadtholderate, or any number of things, but Willem will be solidly marooned in the Palace of Whitehall at all events.

Assuming he survives - and his health was never great IOTL - he could marry a Danish princess (replacing Queen Anne's role), a relatively noble Englishwoman, or some (probably Protestant) German, and this marriage may not be entirely happy, due to Willem's dalliances with young gentlemen. He was fertile IOTL, just lumbered with a wife who wasn't ready to give birth at the time he married her, so he may well have kids and continue the dynasty. However, if Charles II is savvy, he won't marry off his last sister to the Duc d'Orleans. They married in 1661, so there's still time to call it off.

If he doesn't survive, things get interesting. Henrietta's marriage, whether to Orleans or to someone else (Rupert of the Rhine would be fun) will come into conflict with Monmouth's ambitions, and the choice between Monmouth and some French/not-French nephew/niece of the King becomes a lot harder to call than the one between Monmouth and James II.

Politically, there's no Popish Plot or Exclusion Crisis, meaning that anti-Catholic hysteria may be weaker (we may see more Calvinist/Arminian conflict, in fact) and the dividing lines between Whig and Tory less entrenched in the short term.
 
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