You are describing a nihilistic version of the founding of the USA. That the motivating values could have been anything so long as everyone was on board.
The primary motivating factor was to keep more of their money. The Crown had begun taxing colonials directly in the 1760s, and that's what they were riled up about.
They were not being repressed religiously by the Crown (generally they were in colonies that were predominantly the religion they preferred), they had all the usual rights of British subjects and were, in fact, leading much freer lives in every way than British subjects in Britain.
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