I grasp the meaning completely, I'm just looking for alternatives ways to express it.
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Consider the following possibilities. (Not all of them express exactly the concept you are after, but all of them incorporate aspects of it):
I think you could use the term ambivalence or its adjective form ambivalent.
Ambivalence is defined as:
And that is pretty much the same definition as cognitive dissonance.
In fact, there are a number of online articles — such as this one entitled "Thinking and Caring About Cognitive Inconsistency: When and for Whom Does Attitudinal Ambivalence Feel Uncomfortable" — that use the word ambivalence when describing cognitive dissonance.
The term Dunning-Kruger effect is well known enough to have meaning amongst generally educated people.