Why have the Republicans won two terms if they are anti-federalist?

Not all Republicans can be considered 'Anti-Federalists' and the definition of Anti-Federalists, in terms of how it was originally meant - cannot be fine by any politician today. The basic principle of Anti-Federalism is that Government is better when it is smaller, and closer to the people. The logic is for example, your city government is better to do tasks than the state, and the state better than the Federal Government. Anti-Fedealists (ex: Thomas Jefferson) opposed the Federal Government having much power at all, instead the power would lie with the states. President Bush has enacted programs like no child left behind which is directly contrary to the Anti-Federalist idealogy, and arguably the Constitution gives the Federal Government no power as it relates to Education.