Yes many Christians are hypocrites!!

Closed-minded examples would include being challenged on their beliefs and yet aren't able to think outside of their set beliefs. That is fine but sometimes instead of admitting that they can't logically explain their own beliefs they would instead try to act like they are right and the people trying to challenge their beliefs are wrong. Their mindset about knowing the "truth" prevents them from having an unbiased discussion and this naturally displays their judgmental attitude towards differing beliefs and unwillingness to grow in their own beliefs.

If you believe in a historical birth of Jesus but can't explain how that could scientifically or historically happen then there there isn't much credibility to that belief and therefore shouldn't be claimed as fact or unquestionable. Even if it was possible the possibility of other virgin births in history shouldn't be out of the question either, and that could be implying maybe Jesus isn't all that unique from other historical or mythological figures. So why would Christianity be the only true religion when it teaches either similar lessons and morals already taught in the past or provides certain details in stories that have no historical credibility or evidence of it actually happening but are still taught as fact? This type of discussion would be-closed off to certain Christians. 

You can still believe something strongly and understand that your belief could possibly be wrong, but certain Christians aren't able to do this.