The difference between federalist and anti federalist is that Hamilton presented federalists and Tomas Jefferson presented the anti federalist. Federalist were the stronger group of the national government and the weak group were anti federalists. The federalist visions of America were industrialism, Business, and Modern. Anti federalists vision were Agrarian, Rural, and simple.
The federalisms are stronger because they had better regulate trade, taxes, and loyalty orders. They are better then the anti federalists because they send a message to other nations and they are better regulate foreign trades. Federalists are the Constance of strong state and national governments. They also have power such as education, health, and welfare. But concurrent powers are held by both such as taxation, law enforcement, transportation, and military. Federalist also won the anti federalists but had to promise a Bill of rights would be their first order of business.
The anti federalists are weaker but have a strong state government. Their state control knows best and they have better protection of rights and freedom. The anti federalisms were extremely suspicious of authority that they wanted to reduce the power of federal government under the constitution. Anti federalists wanted specific limitations on the government's taxation and commerce powers. They lost most of their battles but also succeed in convincing the state of need in bill of rights.