The "revolutionaries" did care, and were quite worried to point out that Parliament had (in their mind) no legal authority to direct the internal affairs of the colonies, and their consistent point throughout was that they wished for nothing more than their "rights as Englishmen".
Eventually they had to shift their goal to outright independence to achieve those ends, but even that shift was accompanied by a detailed list of grievances (known as the Declaration of Independence) illustrating why exactly they felt they had to take that step.
Of course, those who actually bother to read that Declaration will note that it emphasizes that even moderate problems with the government should be accepted as a matter of course.
Their problem was not government, or laws, or anything like that. Obviously so, since otherwise they wouldn't have formed a government with laws after the Treaty of Paris, and then scrapped that government a few years later because it sucked so bad that it needed replaced with an even stronger government that the U.S. still operates under today.
Rather, their problem was the lack of the British Crown's desire (in their view) to uphold Britain's own laws and charters as applied to the colonies.
The revolutionaries that founded the US didn't care that they would be breaking laws. That's kind of the point.