So, no, then, to my question. You don't make a distinction between justified and unjustified belief. It's all the same thing to you. I suspect that you're in the majority there. I also suspect that most of that majority doesn't know what a justified belief is, or what makes a belief justified. If so, I guess such people can't know why the critical thinker only values one of those.
This reminds me of the people who are unaware that there is such a thing as expertise, and that not all opinions are equal. If they are unaware that there is an alternative way of deciding what is true about the world that simply choosing what you prefer to be the case and believing that, then one assumes that everybody else is guessing as well, and my guess is as good as yours. This is why there is a Dunning-Kruger syndrome, which I think falsely describes the victims as having an overinflated sense of his own competence, when in fact he has an extreme underestimate of what is actually going on in those other minds he equates himself with. It's not that he sees himself as elevating himself to the ranks of the cognoscenti, he's unaware that there is such a thing. He's not raising himself to their level. He's lowering them to his because he does not know about this higher radically different and far more effective way of knowing.
I'm a contract bridge instructor. I'll often ask new students to rate their skill level. It's remarkable how many beginners rate themselves as intermediate or advanced. They see themselves as about halfway there in their bridge educations. This, too, is Dunning-Kruger. It's not so much about having an inflated view of one's expertise as not recognizing what can be known and is known by others.
That doesn't matter to the critical thinker, who decides for himself which beliefs are justified, including the beliefs of others.
But that's not the claim. The claim is that it takes no faith to believe that the sun will probably rise in the morning. It's a justified belief, justified by past experience seeing the sun rise.