I believe, yes, but what I believe is a factual and historical witness of the Church. Christ factually and historically was born of a virgin, died on the cross and rose again, redeemed our sins, installed the Church as a witness to that, sent us the Holy Ghost to guide us today, ascended into heaven, is present in the Holy Eucharist, will come again to judge the living and the dead, and His kingdom will be no end.
This is not a philosophy that I find agreeable, these are facts that are there no matter what I think of them.
Understand the difference?
I understand what you are getting at; however, I think the vocabulary you are using is problematic. A fact is testable, independently verifiable by any - even those who don't believe in the fact.
Everything you listed is simply taken on faith, and faith alone. We believe that Jesus was born of a virgin, not because it's recorded indelibly and without error, but because we believe it to be such. It's untestable, and as such cannot be a fact.
You can claim them as truths or articles of faith, but they are not facts. For if they are facts, what good is faith? Why is faith needed for something that is factual?