Introducing nuclear power in climate discussions tends to cause flamewars because it's often introduced by someone making extreme blanket statements, like "humans cannot be trusted with nuclear power" or "nuclear is the only available solution to climate change."
Just mention it as one of the low-emissions alternatives to fossil power. Cite climate-focused organizations for support rather than industry-specific organizations. The aim is to reduce emissions, not to promote one specific technology toward that end.
I wish that we just had carbon tax-and-dividend instead of a thousand different regulations and tax code incentives mandating or nudging toward specific kinds of efficiency measures and fossil replacements. At the same time I understand that carbon taxes face enormous popular opposition while tax credits and CAFE standards don't, so I'll accept having 3 different kinds of federal tax incentives to separately promote nuclear power, wind power, and solar power (plus a myriad of differently structured state level incentives) as the best the US can currently do.