OK, I’ll have a go, maybe you can define ‘right wing’ - you seem to think the term ‘far right’ has the same meaning.
I’d say that people can be leftist economically, or socially and morally. Economic leftists think that we should place more emphasis on cooperation between people, and controlling unbridled capitalism, and there should be a very strong social welfare system. Taken to an extreme, this can lead to communism, which experience has shown is a very bad idea.
Social and moral (non extreme) leftists maintain that there should be absolutely no discrimination between people based on race or sex, and that people should be left alone in respect to their private lives, especially in regards to their sexual behaviour. As a mild libertarian, I have no issues with that at all, sounds a lot like libertarianism. People on the centre and right would agree, with the rider that provided a behaviour doesn’t negatively affect other people. Taken to excess this results in ‘Wokery’, in which people are censored and punished for expressing dissenting views, and ‘Identity Politics’ which strives to permanently divide people into classes based on sex and race (see Australia’s recent referendum seeking to enshrine race into the country’s constitution, thankfully soundly defeated).
It’s possible to be simultaneously an economic leftist and morally far right, as in Australia’s long defunct Democratic Labor Party.
With transgenderism, I think the Woke have gone a bridge too far, and it’s very possibly the reason for Trump’s election.
I’d agree that the Far Right, the Right, the Centre and the Centre Left have successfully used the word as a way of ridiculing extremists. I’m sure there are stupid and ignorant people who follow along, just as there are many highly intelligent people who use the word ‘Woke’. I’ve heard people WAY smarter than Trump use the word, Richard Dawkins and Sam Harris come to mind.