Having a set, non-nebulous constitution at all, was unique but the claim that trial by jury “ a pretty unique thing about the American system of checks and balances” is false, it was a well-established basic right in the common law system and the deprivation of it in the colonial administration was a fundamental grievance of the American independence movement not because they had some novel ideas about basic right but because they sought it as a deprivation of the rights they saw themselves entitled to in the British common law tradition.
How was France doing with TbJ? How about Japan? China? Russia? Shall we go through the list of countries in the late 18th century to do this by hand? Tally them up and see how many had a guaranteed right to TbJ for criminal offenses by their citizens?
No, the statement I made holds, and you’ll find that by looking at how other countries adjudicated criminal offenses at the time (not just England). Guaranteed TbJ was the exception, not the rule.