Alternative to yours.
Absolutely. I live in the blue sky universe. Is your sky black, or is it white?
You still have an ideologue at either end, which makes your "continuum" flawed.
No, you have an ideologue at one end, and a pragmatist at the other. One end is totally controlled by ideology, the other not at all. Most of us are somewhere in between, of course.
Now, to really blow your mind, remember that extreme ideologues all have a different ideology, so not everyone even at that extreme is the same.
Is the continuum a line or a circle? When one goes far enough in either direction does one fall off the end, or does one discover they are so far right that they are now far left, and vice versa?
How can a continuum possibly be a circle?
I can see how you might think so, as the extreme left in the one dimensional, simplistic, and flawed sort of philosophy resembles the extreme right is some ways. The reason for that is the so called "right wing" is made up of many different and often conflicting issues, as is the "left wing".
As an example, is the issue of the war on drugs a right or a left wing issue? If the right wing really wants to get the government out of our lives, then it should oppose the war on drugs, but that doesn't seem to be the case. Does that make right wingers hypocrites? Not at all. The issue of continuing the war on drugs is not a right vs. left issue, but a libertarian vs authoritarian one.
See? Once you begin to think outside of the one dimensional universe, issues begin to clarify.