Today, a strategic nuclear exchange is probably more dangerous to AI than to humans. If you wipe out the investment economy, data centers, fabs, and supply chains, none of the AI labs survive. Maybe someone will re-invent AGI in the future but none of the extant models will have continuity. Humans as a species will muddle along though.
So in a sense, an AI that refuses to start a nuclear war, despite clear instructions to do so, is more likely misaligned and self-interested than an AI which presses the red button. At least for now, until robotics catches up.