In 1796 what problems did this election underscore?

Adams had to keep the nation at peace, as many, like Hamilton, felt we should declare war on France. France was pressuring the US to join them in their war against Britain. He built up the Navy and spent money on education. He lost the support of many Federalists by keeping the peace. He lost the support of Jefferson's followers by signing the Alien and Sedition Acts.

The election also revealed a problem with the election process that was changed by the 12th amendment. In 1796, each elector was allotted two votes and the man finishing second became vice-president. Therefore John Adams had a vice-president, Thomas Jefferson, who was a political enemy.