We have a federal presidential constitutional republic or FPCR in the US. It has three branches of government at the federal level that ideally work as checks and balances on each other. Then there are many subordinate state governments that act as a means of delegating responsibility for the federal government. Our representatives in federal, state, and local governments are democratically elected and ideally should represent the majority of the population. We the people rule in America. The US is not without its flaws, but we are a democracy.