Jesus Christ's NT teaching affirms God's creation purpose for man and woman, a man shall leave his father and mother and be united with his wife and the two shall become one flesh. (Gen 2, Matt 19, Mark 10, Eph 5 etc)
There is no alternative, becuase of so much sexual immorality each man should have his own wife and each woman her own husband. (1 Cor 7)
There are no so called 'clobber' passages for believers, we know sin is sin but we are no longer clobbered because of Christ's forgiveness. In addition to God's clear creation purpose for man and woman, there are direct condemnations of same-sex sexual relations Gen 19, Lev 18 & 20, Judges 19, 1 Corinthians 6, 1 Timothy 1, Romans 1 etc,
I would suggest the idea that same sex attraction is a harder cross to bear is a result of all the hype because sex is the new idol, as Malcolm Muggeridge said the orgasm has replaced the cross, as I see a TV program adveretised, 'The joys of teen sex'. Greed and lying for example are things we have all fall short in at times arent they?
This is not a debatable matter, there is no Biblical support for same sex relations, God detests it. In the UK, and I guess in the US as well we are heading for a society that will not tolerate any objection to homosexual practice, but it doesnt change the truth.