I think it would be persuasive to the left, but I'm worried that comparing AI x-risk to climate change would make it a left-wing issue to care about, which would make right-wingers automatically oppose it (upon hearing "it's like climate change").
Generally it seems difficult to make comparisons/analogies to issues that (1) people are familiar with and think are very important and (2) not already politicized.
This is kinda related: 'Theories of Values' and 'Theories of Agents': confusions, musings and desiderata