Love the sinner, hate the sin" is a Buddhist belief, not a Christian one. You clearly interprete the message as being that but it isn't.

They are NOT born that way, since God did NOT create homosexuals. The sin of homosexuality is from a part of the sinful nature, that we have. Everyone has a sinful nature. Most people have a sin of their own preference. Though some may share the same struggle with a particular sin, not everyone struggles with the same sin obviously.

Had God created them as such, He would not have called them brute beasts nor would He have called homosexuality an abomination. And YES they do CHOOSE it. Just as a pedophile CHOOSES to sin the way they do and a rapist CHOOSES to sin the way they do. You wouldn't claim God created the pedophile or rapist though, would you? Can you tell me why you don't believe God created the pedophile and rapist AND at the same time believe that He created the homosexual?

IF you DO believe that God created the pedophile and rapist, then there are other issues.