Food Unit you said, "This is where our opinions widely diverge. I don't feel comfortable with my gender. I am not 'cis'. I think it is weird to think that a MTF suddenly has no male privilege over a woman. There is no 'structural oppression' of trans people (above and beyond all gender restrictions or the fear of deviants) , because being trans is a 'feeling' not a societal structure. "
Well, yes, this is something I can't agree with.
I know many white people who don't see themselves as "white," often don't like being referred to as white (e.g. "I'm colourblind me," or "my skin is cream/beige/tan, not white.") and don't accept that they have any social, economic or political privilege because they are white.
That doesn't mean that white privilege doesn't exist. That doesn't mean that they don't benefit from it. Rejecting the term or the concept doesn't change that, no matter how much they want to believe it does, no matter how many times they insist it isn't valid.
Same applies here with regard to cis privilege.
Being trans is a "feeling" in the same way that being Lesbian, gay or bisexual is a "feeling." It's a human being's identity. How they see themselves, how they are seen by others, how they experience life. Similarly, a person of colour isn't just about the proportion of you DNA that's not caucasian or your appearance. It's also about how one sees themselves, how others engage with them, how they experience life.
We live in a society that is institutionally racist, institutionally heterosexist and institutionally cis-sexist. That means there is structural oppression of and discrimination against people of colour, Lesbian, gay and bisexual people and trans people. Just believing that's not the case doesn't make this disappear.
In fact, denying the existence of such oppression is actually a way of actively perpetuating that discrimination and oppression.