Correct, I invoked an unnamed speaker in my statement.

Rephrased: each asked American would describe liberal or conservative as capturing the entire spectrum, (left or right respectively) of what they consider center.

All I mean is that the terms are most commonly used (in America) to capture damn near half of the spectrum.

No one wants to consider themselves radicalized

Speak for yourself buddy, proud owner of the "radical leftist" label here.