Everyone judges others through the same filter they judge themselves, so what is "right for me" necessarily colors my assessment of others.
But with things like sexuality, not everyone is the same. Just as in the case of sexual attraction to another (and this is not just about sexuality), not everyone will be attracted to the same looks, personality, shape. So applying what is right for one's self to others or judging them based on yourself does not really make sense.
So no, what I think is "right" I apply equally to everyone.
Which is similar to what some religions do to others who do not belong to their faith which ultimately leads to discrimination and abuse.
That is a meta-ethical question of what is right. I hold the positions of descriptive moral relativism (in that I recognize that morals objectively differ by culture), meta-ethical moral objectivism (in that I believe ethics apply universally), and normative utilitarianism (where the most happiness is sought for the greatest number of people).
The problem with this method or way of thinking is that without realising it, you will speak or treat others who go against what you think is right differently. Because you are judging them based on your own personal beliefs and morals. So when you say that you do not think homosexuality is right, you are judging homosexuals in a very negative manner and without realising it, you are applying your personal beliefs against others who you do not believe are right in regards to their sexuality - more to the point, you believe that their sexuality is not right - and without realising it, it will cloud your judgement and how you view things.
For example, there are some people who believe that inter-racial mixing is not right. Because it is not right for them and because they are only attracted to a particular race - which is obviously their own. So they judge people who are in inter-racial relationships. It inevitably leads to abuse and to discrimination.
Had you said homosexuality is not right for you, no one would dispute that, because you are not a homosexual. Just as a homosexual will say that heterosexuality is not right for them, no one would find issues with that because they are not heterosexual. I will openly say that homosexuality is not right for me, because I am not attracted to the same sex, ergo, I am not a homosexual. But it does not mean that homosexuality is not right - which is how you are putting it. As such, the way you say it, makes it seem as if you believe homosexuality to be wrong in general. If I am wrong, then please correct me, but when you say you don't think homosexuality is right, you are applying a moral judgement on the whole by declaring it to not be right - either morally or even in nature, for example.
So while I do not think homosexuality is "right", I also do not find any reason that they ought not, so long as no one is harmed.
*Raises eyebrows*
Who would be harmed? Harm or possible harm could apply to both homosexuality and heterosexuality equally - for a variety of reasons. I don't see how or why homosexuality should be singled out for that reason.
No, my opinions are not based on the Bible. There is nothing that "ought to be done" about homosexuality.
Because there is nothing to be done about one's sexuality.
Because there is nothing wrong or not right about it.