do you think that I could say that Jefferson influenced politics by judicial review being established in his first term even though he was against it.

I would say that Jefferson played a passive role in the first judicial review by Justice Marshall. He happened to be new president when the Federalists were trying to increase their domination of the judiciary by making last-minute appointments while Adams was still president. Jefferson played no roll in the decision. He did not get a chance to ignore the law appointing the judges. Marshall declared the law unconstitutional, thereby asserting the court's authority for judicial review. Jefferson remained a bystander to this historic event.