No we aren't all equal. There are plenty of people that believe woman are lower class citizens then men.
We are equal.
In developed western society (USA, Western Europe) women are equal to men. You have the same rights and opportunities. Most people consider you equals.
If you are referring to places like Muslims, then yes, women are usually second to men. But that is how their culture is. That's how they are. I'm not going to judge different cultures just because they don't believe the same things as mine.
My belief system is better than theirs. You don't think so?
No.
Every human is equal, including their belief systems. For example, there is a caste system in India and arranged marriages are common. That is widely different than western culture, but that doesn't necessarily make it good or bad. It's just different.
I do not cling to my culture nor the common viewpoints of our current society because these values/morals/thoughts are always changing. 300 years ago slavery was normal and accepted, until it wasn't. Today, it's becoming okay for men to cut their penis off and try to manipulate their hormones to be women. Tomorrow, who knows? It is always changing.
You think it's reasonable to treat females as second class citizens?
Do I think it's reasonable for different cultures to exist? For society to be structured in different ways? Yes.
If slavery was still legal in the US would you tell someone they have no right to "impose" their thoughts regarding ending slavery on other people?
If I don't like homosexuals, should I tell someone that they have no right to have sex with men? Should I "impose" my homophobic opinions onto them?
Do you understand? You aren't correct and right. Other people aren't wrong and immoral. You might think that you're ideas are better than others, but at the end of the day you are still forcing your feelings/thoughts/values onto others. And that is wrong.
For the record, I do not care if people follow LGBT, people can do what they want. I'll live my life, they can live theirs.