The (hypothetical) colonists would develop loyalty to their own silly, strictly hierarchical government that was imposed on them. (For some strange reason, many Americans still have loyalty to a 200 year old document. And others have loyalty to 2000 year old documents.) As usual, some people will benefit greatly from the hierarchy and fight to the death to preserve it. Some other people might fight to the death to overthrow it. Perhaps they'll have a civil war, which likely won't end well for anyone, given that survival on Mars would be tenuous in the very best of circumstances.
Note that "terrorism" on Mars could be an extinction-level event for colonists.
Not to mention, if the Mars colonists get uppity, then Earth can send a fleet of warships to put down the rebellion. Hell, Earth could just launch unmanned missile strikes at Mars. Wipe the slate clean and start over.