You think democrats are the left?
I'd really want to see the data on which you base this belief. Watching US politics from Europe I see the Democrats roughly matching the European center. European "left" has no voice in the US!
"They say things very far left( arguable ), but the way they govern is extremely moderate."
The politicians? They aren't confused. They understand the system.
In order to have political success they explicitly seek the backing of the wealthy elite.
It constrains the politics to never be leftist, and politicians to dodge policy and posture on culture wars.