More to the point, it's impossible to independently (& personally) verify the data and claims of everything that you would like verified. There's not enough time in the world.
Very true. The rational man realizes this, and doesn't hold strong political opinions on the rest of it. We're all going to be ignorant of most science in the modern world - the time has long passed when the educated man could know all of the scientific knowledge there was. It's important to therefore set arrogance aside, and not try to tell others they're idiots, or force your uneducated opinion on others by law, unless you actually care enough to do the diligence first.
Far too many people mistake fashion for education. If you're going to call others fools for trying to stop the teaching of "evolution" in schools, call them fools because you took the time to understand the science, the counter-arguments, and why a smart, ration person could somehow not believe in evolution. Until you understand the other side, and why it's wrong, stay out of the argument. For the evolution case: if you had a solid biology class, this takes just a few days of reading the talk.origins site. It's not an undue burden, and otherwise arrogance about your uninformed opinion is just idiocy.
For newer fields like the climate change debate, it will take longer to dig up the details, as there isn't a handy website that collects all the pro and con arguments. For climate change, can read through the pro and con sites and understand where they're coming from, understand the Vostok ice core data for perspective, spend time pondering the satellite temperature data, and so on.
For any such issue, treat both sides as intelligent people who are in earnest in their beliefs and not trolling, and read enough to understand how this can be true. When you understand how intelligent people can disagree on the issue, and see where both sides are coming from, then you can act out of knowledge instead of arrogance, and stop polluting the debate with idiocy. If your only basis for argument is "everyone knows the smart people believe X, and the losers believe not-X", well, that's fashion, not knowledge. This pretty much applies to anything being debated politically, BTW, not just the science stuff.