The core american political ideology of the post-war period considered the success of the new republican governments to be dependent on

Independent landowners

Explanation:

The core American political ideology of the post-war period considered the success of the new republican governments to be dependent on independent landowners. This is because the government envisioned a country that was focused on individual property and individual rights. The need for individual private property was an idea that drove many acts of government in the United States, including the Homestead Act.

yup! you are correct it is b.