I disagree. While this is true for some (US, UK), it's not true for other democracies (Spain, Germany), and even less true for more authoritarian systems (Russia, China). Some countries have political systems that are actually able to make long term decisions.
>Although both parties broadly agree that climate change is bad
True in some places, but not in others, such as Russia, Brazil, or (most importantly) the US.
While I agree that decarbonization is really hard, and in part due to the reasons you listed, they are also not as universal as you paint them out to be.
At a US national level we have partisan trench warfare exacerbated by a Senate dominated by small states and supermajoritarian voting rules. It's not entirely untrue that the the continued existence of the US Senate is incompatible with a future habitable planet.