I agree all this had a huge impact on American thinking. John Locke, who returned to England with William and Mary, gave a philosophical basis for the new Whig thinking on government. His writings were very popular in America and influenced the Founders
The English ruling class seemed to think America was overrun by Whigs and Presbyterians, who they blamed for the American Revolution. Way too simple, but certainly a kernel of truth to that.
There was a Whig party in early America of course, not too sure about the Presbyterian impact — but then, leave it to the hidebound Brits to get it wrong.