The grievance is legitimate, the government completely ignores their desires…
I see your point, but their “desires” are to oppress or kill the normal people, so I just don’t see their grievances as legitimate. Conservatives are furious that they are unable to use legislation to further their conservative values of racism, homophobia, misogyny, xenophobia, transphobia, antisemitism and other conservative bigotry. There is simply no room in a modern culture for hate-based ideologies like conservatism.
We should not legitimize their harmful desires by recognizing their “grievances”. Instead, we should marginalize hate by marginalizing the haters.