You should if you want to be a science writer or academic, which lets be honest is a better comparison here. If your job involves latin for names and descriptions then you probably should take at least a year or two of latin if you don't want to make mistakes here and there out of ignorance.
The US is far more like the EU than it is like Britain or Canada, being a Republic of aligned States. We have a body representing the states themselves (the Senate, and each state is equal and gets 2 Senators), a body representing the People in those states (the House of Representatives, which has been capped for total size and is no longer equally proportional but serves the same purpose), and a body representing the entire Union (the Executive branch - the President, Vice President, Cabinet, etc.).