There are 2 schools of theological thought regarding the OT and NT.
One school of thought says that anything said in the OT that isn't reversed in the NT still stands. An example would be Jesus, in the NT, repealing the dietary laws when he said it isn't what goes into a man that makes him unclean, but that which comes out of a man. This was said in direct response to a violation of the OT dietary laws. Thus, it is a reversal of the OT law.
The other school of thought is that anything said in the OT must be repeated in the NT or it can be assumed it is no longer in effect.
The idea is that prior to Jesus, mankind was under the Law. The Law was not intended to be the way things ought to be, man could never attain salvation by trying to uphold the entirety of the Law. The purpose of the OT Law was to put a spotlight on how incapable mankind was to attain the holiness God requires.
When Jesus came he put aside the Law in the sense that he fulfilled it himself and those who have faith in him benefit from his fulfilling it as if they themselves had fulfilled it. Some of the law was meant as an archetype of the christ.
Regardless of whether one subscribes to the first or 2nd view, the condemnation of homosexuality stands because Paul repeated it in Romans, a book in the NT.
So, the NT doesn't reverse the prohibition, but it does repeat it. Since we have a condemnation in both the NT and OT there is no room for doubt that the present position of the church is to view homosexuality as an abomination unless one wishes to be a liberal Christian that doesn't take the bible seriously or one wishes to interpret plain language in a unique and fanciful manner.
Well, Jesus had this to say on it:
"For truly, I say to you, till heaven and earth pass away, not an iota, not a dot, will pass the law until all is accomplished. Whoever then relaxes one of the least of these commandments and teaches men so, shall be called least in the kingdom of heaven; but he who does them and teaches them shall be called great in the kingdom of heaven.” (Matthew 5:18-19 RSV)
"It is easier for Heaven and Earth to pass away than for the smallest part of the letter of the law to become invalid." (Luke 16:17 NAB)
"Do not think that I have come to abolish the law or the prophets. I have come not to abolish but to fulfill. Amen, I say to you, until heaven and earth pass away, not the smallest part or the smallest part of a letter will pass from the law, until all things have taken place." (Matthew 5:17 NAB)
It seems pretty clear that, at most, only things that were specifically repealed would not still hold.
You still have 2 giant problems.
1) If you believe that, you should be killing women who are found not to be a virgin on her wedding on her father's doorstep, stoning disobedient children, keeping slaves, and on and on.
2) You still haven't provided the slightest cause for us to believe that their is any validity to the bible at all.