Remember, the social Democrats sided with the Nazis over the socialists. They’ve done it every time they’ve been given the opportunity, and will continue to do so as many times as people fall for their shtick.
“The master's tools will never dismantle the master's house."
-Audre Lorde
You should look at polling more deeply. If you chuck an easy question like 'Are humans responsible for climate change?'' you'll barely get 50%. But if you then actually pose a piece of actionable policy like 'Would you support banning the sale of ICE cars in 2035?' You'll get 30%. So no. The will of the people is not meeting their climate commitment.
This will probably be the case for your other examples too. Public opinion is never as unified as you're making it seem.