If GC feminism becomes allied with the far right, then you'll lose a lot of current supporters
Me, for example
I'm not leftwing and never have been, just vaguely centrist
I've never voted Labour, but usually not bothered enough politically to vote
I was quite happy when Mrs Thather was elected, although I now think her policies caused some of our problems today, such as housing.
I grew up poor and mixed race, so racial insults, assaults and racism blighted particularly my earlier life, in the 1960s
They came mostly from the political right and it was the right who fiercely opposed laws protecting me fom racism.
Those laws forbidding people's freedom to yell "dirty wog, go home" (I was born in the UK) made a real difference to my life
Not every oppressed minority - or indeed majority in the case of those in colonies - has had the patience to stay peaceful decade after decade
Even those that are completely peaceful, get slandered,
e.g. Martin Luther King was frequently accused by the right of being a dangerous communist and a threat to the USA
So, I support the mass BLM demonstrations, not the violent minority
Noone else is standing up for the African Americans, who suffer a shocking amount of police violence and a high number of deaths.
I read the FT, Times & Guardian, plus occasionally the Telegraph & Spectator, but I'd no more take information from Breitbart than I would from an IS publication or Mein Kampf
and if I found my "side" was frequently praising the IS rag or Mein Kampf or Holocaust denial etc - as distinct from just reading them occasionally - then I'd dump that side.
As for the claim that CNN is "leftwing", that's only if you regard not supporting the Republicans (who have shifted massively to the right over the last 40 years) as leftwing
Mrs Thatcher used to have on CNN all day, to check what was happening in the world.
I've met about 1 transwomen, so my insistence that they are men is only an academic principle for me,
concern for the rights of women like JKR to state biology,
but the issue is not something that's ever affected me personally, or anyone I know
If being a GC feminist means standing alongside those rooting for the far right, for the lunatic & criminal Trump, calling the BLM demonstrators "terrorists," supporting the anonymous snatch squads in Portland,
..... then I'll stop supporting GC feminism