Federalists+Republicans=America

What strikes me most about the American politics from their deceleration of independence up to the Jefferson's republic - how each party is against each other to the point of declaring duels such as between Burr and Hamilton, yet republican ideas were enforced (the Bill of Rights) during the federalists government were in power. Now that Jefferson (republicans) are in power not only does he decide to reduce taxes, but he also decides to keep the federalist founded national bank and military. In my eyes, it seems as though each party influences the other to create a self-sufficient and powerful country