Here are three alliterations inspired by RANKISM;

R R R = Relate rather than rank

R R R = Repudiate and replace rankism

H H H = Harness horizontalism for humanization

V V V = Veto verticalism in vital events

Francisco adds:

I have used Verticalism as a near-synonym for Rankism.
Similarly, Horizontalism as a near-equivalent to Dignitarianism.