For example, the Supremacy Clause in Article IV of the Constitution states that the law of the land (federal government) overrides the law of the states. This basically means that if the states have a conflict of laws, whatever the federal government writes into law rules over what the states previously had. The federal government now controls national security, foreign policy, and coinage to name a few, whereas the state governments control simple parts such as marriage and police power. This shows that this idea of the Supremacy Clause stayed intact until this very day. The Anti-Federalists proclaimed that with this Constitution, there is no regulation on how much the federal government can tax the citizens and leaves the states with not as much revenue to collect. Also, if this type of federal government causes people to get out of control, the country might have to turn its own military against its people to keep calm. One more argument they represented at the Convention was that with this government, every person is not represented; therefore everyone's needs cannot be taken care of. The Anti-Federalists tried to get the states to not ratify the Constitution because they thought the national government would have too much power and there would not be any, or little, liberty.
The Articles of Confederation was a good start for a new country, but the Federalists thought that they could revise or come up with something that would bring about a stronger national government. Federalists believed that liberty and equal rights needed to be protected and with this new stronger federal government, it would happen. The Federalists believe that everyone should have liberty, and they trust the federal government to give back the liberty, as in the Anti-Federalists doesn't believe the government will give it back. Liberty included property, as in land or family, and beliefs, such as freedom of speech and freedom of religion.