Ok, some better planned invasion of England maybe?
I'm not convinced, but maybe. Really just getting one country to be the hegemon of the Caribbean in the same way that Britain captured all of North America seems more likely to me.
I really doubt that. As far as I know, the Spanish didn't like anyone but themselves colonizing the America's. They considered themselves the rightful rulers of all of it (besides Brazil) after the tre
aty of Tordesillas. Sure the other countries didn't care one bit about it, but as long as Spain controls England somehow, it will enforce it as long as possible.
At first they believed they had a divine mandate to rule the Americas yes, but tbh I think if you look at it all they were truly interested was the bullion and the money. They claimed all of the Americas sure, but they only made any kind if effort to capture the major civilisations and then the islands which they could easily dominate, and because they knew of the value of. Central and southern America pumped out gold and silver and they wasted no time at all in capturing it but they rapidly learned that the north was disparate politically and had no gold and instantly lost interest. They made no attempt at exerting control except placing a half-dozen missionary outposts on the coast and sending a small flotilla to ward off foreigners every few months. Because there was no profit to be made, they couldn't care less.
The other thing they did, which shows their priorities, is jealously guard their trade monopoly. They declared all trade with the America had to go through Cadiz and they passed a law making it punishable by indefinite imprisonment for a foreign ship to even dock in an American port, let alone attempt to trade. On top, if the foreign sailors were Protestant then the Inquisition tended to mysteriously appear in their cells to drag them away to never be seen again.
See, the Spanish had no real interest in expansion, they just wanted the juicy bits and they wanted the trade. If England came under Hapsburg control and converted to Catholicism, I suspect that the Spanish would've found them the perfect people to suck up all the bits of America that the Spanish had no interest in conquering. The only caveat would be the subjection of the English colonies to Spanish trading laws. All trade would have to be toured through Spanish ports - either Cadiz or maybe Havana first to double the number of Spanish tariffs they had to pay. They'd also be forced to cough up protection money or some sort of reimbursement to make sure that most of their profits ended up in the King of Spain's treasury. But I just can't see the Spanish turning up the chance at making the English do their hard work, and as a result, English colonies follow.