The problem with this argument is that everyone agrees with protecting children.
"Think of the children" arguments are the legislator's fallacy: Something must be done, this is something, therefore we must do this.
In reality there are alternative means to accomplish any given goal, and the debate is about what should be done, because no one benefits from using methods that cost more than they're worth.
Well, almost no one. The opportunists who drape themselves in the cloak of "safety" when they want to have the government mandate the use of their services or use it as an excuse to monopolize markets or establish a chokepoint for surveillance and censorship do benefit from the machinations that allow them to screw the majority of the population. But the majority of the population doesn't.
We kept saying parental controls are all that's really needed, these states said "ok then, do parental controls" and we're still complaining.
If you see politics through this lens then the 'democratic backsliding' that has been universal across the world for the past two decades is entirely unsurprising.
Vae Victus.
It's not this or that political party, your neighbors simply don't share your values. Maybe you don't agree with their values either — like to what degree we should be ceding privacy in favor of fighting child exploitation on the internet. Child protection arguments work because it is a compass to the true feelings of your neighbors.