First I thought this was about human extinction, but then I learnt is was out of concern of other species' survival. "Eksterma Ribelado"? https://en.wikipedia.org/wiki/Extinction_Rebellion
2 Answers
If you accept estingiĝo as an adequate translation of extinction, then I would suggest Ribelo kontraŭ Estingiĝo, or, shorter, Estingiĝo-Ribelo.
I believe Estingiĝa Ribelo is not a very good translation, because it could mean that the rebellion itself is extinguishing.