The Dutch, British, and French were initially brought to the new world because they'd heard how rich it was and wanted a piece of the pie. It took them a while to establish a hold because the Spanish defended it so well (incumbents usually win) and also they kept settling frozen wastelands rather than tropical islands.
The religiously persecuted groups (who were in no way state-sponsored) came 120 years after Spain's first forays.
There's also this illuminating letter sent from King Leopold II to missionaries in the late 19th century: https://www.fafich.ufmg.br/~luarnaut/Letter%20Leopold%20II%2...
I would quote it, but it's worth reading in its entirety and is extremely blunt in its intent.
Conquerors is a great read on the subject: https://en.wikipedia.org/wiki/Conquerors:_How_Portugal_Forge...
And don't get me wrong, they were very successful at filling their pockets with gold, but could have been even more if they were mostly mercenaries like the brits and the dutch.