The Alien and Sedition Acts influenced the election of 1800 because this law made Adam's wildly unpopular, causing him to lose the election of 1800.
One of the most controversial elements of the Alien and Sedition Acts was the part that limited American citizens ability to critique the government. Many Democratic-Republicans felt this was a clear violation of their first amendment right of freedom of speech. Due to this anger, many individuals went out to the polls and voted to put in Thomas Jefferson as the new president.