In my opinion, the most important similarity between these two men is that they are both democrats. They both believe in the common people rather than in elites.
Jefferson was the leader of the Democratic-Republicans. This was the party that wanted more power for the common people. They wanted there to be less hierarchy in American society. They wanted America to be dominated by small farmers.
Jackson also favored the common people. He wanted to do things like destroying the Bank of the United States because he felt that it favored the rich over the common people.
One similaritie is that they are both democrats and they both believe in the common people rather than in elites. They both had different views as well.
