Varieties of Christian tradition and experience tell us that there is not going to be much to agree up from sect to sect and denomination to denomination, except for one thing: the primacy of the Bible.
A lot of opposition aimed at transgendered Christians and Jews comes from Leviticus. My two cents, as a Christian, comes from the Gospel according to John (1:17, NASB):
For the Law was given to Moses; grace and truth were realized through Jesus Christ.
This tells us that things have changed - our relationship with God and his covenant - with the death and resurrection of Christ.
In Chapter 3 of the letter to the Galatians, which speaks on righteousness through faith, there is a significant passage (3:17-29) that concludes (v. 26-29) what is typically the first division of the book,:
For you are all sons of God through faith in Christ Jesus. For all of you who were baptized into Christ have clothed yourselves with Christ. There is neither Jew nor Greek, there is neither slave nor free man, there is neither male nor female; for you are all one in Christ Jesus. And if you belong to Christ, then you are Abraham's descendants, heirs according to promise.
This is beautiful! It tells us that we are no longer saved by the law but through faith in Christ. Any law prohibiting a man from wearing a woman's clothing is about as relevant as a law requiring circumcision - which is not at all!
God doesn't make mistakes. He didn't make a mistake creating you.
Finally, from the First Samuel (16:7), some encouraging words about what really matters:
But the Lord said to Samuel, "Do not look at his appearance or at the height of his stature, because I have rejected him; for God sees not as man sees, for man looks at the outward appearance, but the Lord looks at the heart."
-Caroline