To be honest, this phrase doesn't seem totally normal to me (at least for an American). I would say that "something is at odds with something else", which would mean that the two things aren't on the same plane and are opposing each other (imagine holding the wrong ends of two magnets to each other..haha). Some examples: 1. We were totally at odds with one another. Meaning: We really couldn't agree on anything. 2. The new American president is at odds with the American people. Meaning: The president and the American people aren't seeing eye-to-eye. This almost sounds like they are actively working against one another.

It means that you have opposite opinions or feelings

it's mean like your heart wants to go, but you don't go