Jesus pretty clear that God intent is hetrosexual sexual relationships between one man and Woman!Actually Jesus does in effect in the Matthew 19 passage you quoted yourself. If we look at the Genesis accounts Jesus is quoting from we can understand more, but seeing as you dont want to, if you address the question about what you quoted Jesus saying, you will also have to admit that same sex relations are the opposite of God's creation purpose.
Of course you cant address it without it being obvious same sex relations are the opposite of what God created.
So here is the question again.
Tell me how same sex relations fits in with His reason for creating male and female so that man shall leave his father and mother and be united with his wife?