Who was the opposition of the Confederates in the US Civil War?

The Confederacy did not want to conquer the North. It's rebellion against the US, however, was at first somewhat successful, as the South's opposition, the Union had a president that would do almost anything to prevent a split in the USA.

The opposites of the Confederates (rebels) were the Yankees. (not the baseball team)

The opposing sides were the

Confederacy (Confederate States of America - the South)

Union (United States of America - the North)