Now, I wouldn't mind if the rest of the world gave him the stick, but like it or not he does represents and is the figurehead of US so it is your responsibility to deal with his actions.
Personally I like the liquid-democracy prototypes where we can 'delegate' our votes to others on matters when we don't have an opinion or we trust someone else's opinion, but can take that back at any moment if they fuck up.
Though, one way to more 'democratize' current elections by simply changing one thing would be having run-off voting. That alone could make elections way more fair, and especially more fair for 3rd parties.
We're far from living in a democratic nation though. It's a Republic (at best), but the elitist control, it's really an Oligarchy disguised as a Republic, pretending to be a Democracy.
I mean a round-robin lottery would probably have a better approval than the dismal 15% congress has now.
Logistically, I think the USA is just a mismanaged nightmare, the government is dysfunctional because it's too big and it could use a modernized Constitution a lot has changed since 1700s
They don't average the approval rating of each individual Congressperson. They literally ask, "Do you approve of the job Congress is doing as a whole, yes or no?" (at least that's what they did when I was asked to take one of those opinion polls).
"I wouldn't be heart broken if we decided to just break into smaller City states that came up with laws on their own so there were more options. "
I mean, we kinda have that with States. The issue is, there are many things that transcend geographical borders. While moving between states isn't as onerous as moving countries, it isn't the easiest thing in the world to do, especially if you don't have a job lined up or money.
If the bulk of taxes were paid to the state, not the federal government like 80% of every tax dollar was paid to the state and state's took care of most things, and the federal government just regulated trade, maintained military, etc.. and only as far as the budget of 20% of tax would allow. States would handle their own welfare plans, education systems, etc... I think there's lots of states that could fail if everything was upto them, but some would be booming successes, just like countries in Europe, some are booming some are struggling, each is different in how they attach society's problems.
But, the way things are going, neither of our wishes are coming true any time soon.