I wrote a much longer version of this, but delted it because I was getting repetitious, so here’s trying for something more concise:
William I: did face quite a bit of opposition from the remaining Saxon Earls and the heirs of Harold Godwinson and the remaining members of the House of Wessex, but also from the Count of Boulogne (a former ally of his during the Conquest who was pissed off at the division of the spoils), King Sweyn of Denmark, King Malcom III of Scotland, and in his Continental holdings from King Phillip of France. His foreignness definitely played a role in the Saxon rebellions, but you have to put it into a complicated international context where Saxons might ally with Danes or Scots against Normans and other Saxons ally with the Normans against the Danes and Scots.
James I: Not really, except for conflict between James and Parliament over James’ desire to be recognized as King of Great Britain. James’ Scottishness was outweighed by the fact that he was the clear successor to Elizabeth and supported by her administrators, and also the fact that he was a Protestant (especially in the wake of the Gunpowder Plot). Not that there weren’t conflicts with the new King, but they usually had to do more with royal debt, taxation, and the prerogatives of Parliament vs. the King.
William III: I cannot emphasize how much this depends on where you’re talking about. William and Mary’s accession to the throne and the deposing of James II was way more popular in England than it was in Scotland or Ireland, hence why the various Jacobite revolts were based in Scotland or Ireland with only a minority of support in England. And this political conflict was directly linked to religious identity: James II’s Catholicism and support for Catholics in government was a major reason why he found support in Catholic areas of Scotland and Ireland, whereas William III’s Protestantism made him more popular in England. Indeed, when William landed in England as part of the “Glorious Revolution,” the motto on his banner (”Pro Religione et Libertate”) was understood by all to be referring to Protestant religion and Protestant freedom.
George I: more so than William III. William was Dutch, but his mother and wife were English and he himself could speak English, and his wife was an English Queen, so that militated against any such reaction. George’s English connections were more remote, and at least for the early part of his reign George couldn’t speak English. While this wasn’t a direct cause of the two major Jacobite revolts during his reign, the sense that George was a foreign monarch did probably contribute, at the very least to the increased participation of English Tories in the Jacobite uprising of 1715. However, later Jacobite risings in 1719 and 1745 really only drew their support from Scotland, suggesting it was something of a transient phenomenon.