OP should have said that "The Democratic Party in the USA IS seen as neo-liberals too from outside the US".
There is obviously multiple axises you can place the left/right on. If you want to define anyone who accepts debt as 'left', and thus the USA is leftish then... ok whatever floats your boat. Just be aware that the rest of the world sees concepts like universal healtcare and education as more important than how much debt you accept. Using debt to pay for a huge military and unsustainable low taxes is not a typical leftish view.
There is obviously multiple axises you can place the left/right on. If you want to define anyone who accepts debt as 'left', and thus the USA is leftish then... ok whatever floats your boat. Just be aware that the rest of the world sees concepts like universal healtcare and education as more important than how much debt you accept. Using debt to pay for a huge military and unsustainable low taxes is not a typical leftish view.