I really don't care what you believe, but mis-representing what the text says and belittling those who believe it doesn't help your case.
Jesus did not say that the Mosaic law is binding for all time. I assume you reference Matthew 5:18:
Mat 5:18 KJV For verily I say unto you, Till heaven and earth pass, one jot or one tittle shall in no wise pass from the law, till all be fulfilled.
Mat 5:18 ESV For truly, I say to you, until heaven and earth pass away, not an iota, not a dot, will pass from the Law until all is accomplished.
This is a conditional statement. "Until all is accomplished," denotes that there will be a time when it does pass--when it has accomplished what it was meant to do, or, alternatively when all that it foretold is accomplished. That brings us to John 19:30:
Joh 19:30 When Jesus therefore had received the vinegar, he said, It is finished: and he bowed his head, and gave up the ghost.
This would be the accomplishment of the OT.
Gal 3:24-25 Wherefore the law was our schoolmaster to bring us unto Christ, that we might be justified by faith. 25 But after that faith is come, we are no longer under a schoolmaster.
In regard to the NT not mentioning homosexuality, you have reference, I would assume, to I Corinthians 6:9 which mentions "effeminate". It also mentions "abusers of themselves with mankind". In the Greek and in the context (which is important, whether you recognize it or not) effeminate is pretty much understood to mean homosexuals who play the role of the woman in their relationship. "Abusers of themselves with mankind," would be the opposite.
I Timothy 1:10 also mentions "abusers of themselves with mankind." The English translation is a bit different in the KJV, but the Greek is the same.
Romans 1:26-27 is quite clear on the matter in the Greek or in the English translation.
Rom 1:26-27 For this cause God gave them up unto vile affections: for even their women did change the natural use into that which is against nature: 27 And likewise also the men, leaving the natural use of the woman, burned in their lust one toward another; men with men working that which is unseemly, and receiving in themselves that recompence of their error which was meet.
Like I said, I don't care what you do or don't believe. I don't care if you're gay or straight or identify as Cool Ranch Doritos. If you're going to argue the text, though, at least don't misrepresent what it says or belittle those who believe it. Or do, that really doesn't matter to me either and it's your business, but it doesn't help your case.