I doubt that system of government would work.
As far as I can tell you completely fail to address corruption. Just like the USA, our system of government is failing because we have no robust response to collusion and corruption in the self-interest of those elected to office.
The have rigged, and continue to rig, by legal means and passing laws, ways to legally line their own pockets, keep their seats, and prevent anybody from challenging them.
When Trump engaged in criminal activity, breaking laws, defying subpoenas, giving illegal orders, he was impeached. Twice. And both times, there were so many of his fellow criminals in Congress, he could not be removed from office.
The same thing happened in Russia, and many other now former democracies. Putin engages in outright assassination of his opponents, with impunity, because he has installed his fellow criminals, now legally paying them millions, to "lead" every form of police protection that might charge him or prosecute him. Even destroying the press in Russia if they dare criticize him or try to expose him.
If your governmental system does not protect against collective corruption, collusion, rule by gangsters, then it doesn't work for anybody but the corrupt and the gangsters. Or the religious gangsters that want to enforce their particular brand of insanity upon the people.