Unfortunately, there is quite a danger in this attitude, whether Christian or not. I have always believed that sticking with the truth is more important than sticking with an ideal. I mean, what is the point of sticking with an ideal if it doesn't reflect reality? If I were to hold to something that had nothing to back it up, I would be delusional and in denial. Also, if I were to be attempting to convince someone that my delusional view was correct, and that person just happened to be familiar with the facts of what I was attempting to defend, my view would easily be destroyed by that person familiar with the facts. This would lead to them questioning my credibility and maybe even dismissing my credibility altogether.
It is best to discard those beliefs for ones more in line with the facts. When you hold beliefs in line with the facts, skeptics are less likely to be able to dismiss your beliefs in the future.
This brings me to my first reason why someone should be willing to challenge their own views. If one holds to a false view wholeheartedly, then when the time comes that that view is not just challenged, but defeated, it may cause a major complex. First, the person starts to question everything (not so bad); second, when truth is found, the person finds it difficult to accept (worse); and third, if the truth they found has eternal consequences, they don't accept it, and they die, they must face those consequences (worst). If the worst case scenario happens, let's hope no one was following in their footsteps.
That brings me to the second reason why someone should be willing to challenge their own views. People watch you, especially the younger generation. If you are close to the youth in your family, they are the one's watching the closest. They will pick up some of the same behaviors as you. If you dogmatically hold a false belief, they will tend to do the same (maybe not with the same view, but others). We want to encourage our youth to ask questions and search for the answers. When one is equipped with knowledge and understanding of why they hold a view, they can more effectively defend it.
The major objection to all this that I hear in the Christian community is that "if someone doubts (thus challenges) their belief, then they really aren't a Christian." I will tackle this in a future post "Does Doubt Equal Disbelief", published on June 13th.
For more information on how this topic, see:
Websites:
Stand to Reason
Apologetics.com
Podcasts:
Stand to Reason: Radio Program
Apologetics.com Radio Show
Books:
Tactics: by Greg Koukl
Come, Let Us Reason: by Norman Geisler