I would give the U.N. more money, scope and power to police the world, through force if necessary, but represented by a fair delegation from all the countries of the world and faiths of the world. Each nation could have 1 representative and a staff that are voted for by the residents of each nation. This governing body makes sure that no messed up stuff goes on, using force if necessary, but not also imposing their identity or their values onto the situation. In other words, I would make the U.N.'s army as powerful as the U.S. army. This would help to get rid of civil wars, atrocities, dictatorships, etc.... Let's face it, the Earth needs a government that governs the entire planet. The problem right now is that that government (the U.N.) does not have some of the military might that other countries, starting with the U.S., have..
On a national level, I would take get rid of political parties, and come up with a new form of government that is more democratic. Rather than voting for one president and having him pick all his staff, the public would be able to vote on each of the key members of staff, and they would not be affiliated to a particular party.
One more thing - I would have the public vote on many other things - I would introduce many small bills. For example, a bill that limits advertising... Right now advertising is Everywhere... and it can be annoying. The country was a lot more beautiful before all the billboards showed up. That's how I feel, but it should be a thing that gets voted on and see what others think. I think downtown areas that have billboards - maybe the owners of those buildings can only sell billboard space to non-profit groups or PSAs, etc....
Also, the public should be able to vote on other things, such as what the drinking age for the state should be, whether jaywalking is illegal, etc....