Our individual psyche is somewhat in the background (somewhat unconscious) in playing a role in how we view and apply meaning to information and evidence we are exposed to. When we accumulate this knowledge, we may appear to have a conscious choice in what we conclude, but much of the work in regards to what we will conclude, has already been filtered through our psyche, which isn't as much of a conscious undertaking. Everyone has their tipping point of changing tightly held beliefs and what the tipping point is, is unique to each person.
Just as, if your favorite color is blue, you can't make a choice today, to make your favorite color red, because you would only be fooling yourself. If you have a favorite team you follow and have your whole life, you can't decide today to change your rooting interests, to that team's arch rival.
Now granted, our individual psyche can change over the course of our lives, based on our life's experiences.