"You say it is none of my business and that it is a non-issue, whereas everything I believe in says otherwise."
What you believe doesn't concern me greatly unless you can support your beliefs with actual reason.
"We're talking about a lifestyle which I believe will cause a person to burn in Hell for eternity and you're saying it should be a non-issue to me?"
Yes, though obviously you'll disagree. How's this: you agree that it's a non-issue to me and most other people and leave the topic alone until you can actually support your belief in Hell, a soul, your god, your religion or your apparent belief that what someone else does is any of your damned business.
"When will people realize that not everything in this world revolves around them alone?"
Says the guy shouting, "My unfounded beliefs are more important than your civil rights!"
"I care about people living a lifestyle God calls an abomination."
Why? Let god worry about it or, just maybe, do something about it himself. Your god is omnipotent; he doesn't need you to enforce his rules for him.
"I care about whether that lifestyle is taught to our kids as something that should be accepted."
Tolerance is bad! Baaad I say!
"You want to be accepted? Stop practicing homosexuality."
How does one "practice" homosexuality? Do you "practice" being heterosexual?
"People who do wrong and then turn around and expect others to embrace them for it and even call it right never cease to amaze me."
Me neither. Then again, homosexuality isn't wrong by any standards other than some ingrained (religious or otherwise) "ick" factor. If you don't like it, don't do it. Just because you personally don't like it gives you no right to say others can't do it since it's harming no one.