We took a wait and see approach.
When the first study came up saying there was a link, we did a risk/reward scenario. If we vaccinated, there was an increased chance of autism. If we didn't vaccinated, there was very little increased risk (herd immunity hadn't been compromised yet). Neither one of us is a biologist, so we were in no position to evaluate the study. We talked to several doctors, half of which also choose not to vaccinate their children. As a bonus, this path gave us more options: we could always change our mind later, but you can't un-vaccinate.
Several new study come out saying that the first study was full of shite. The risk is much lower, because the current known side effects all have a much lower probability. At this point, we had all of our children vaccinated.
Isn't that what critical thinking is? Evaluating information, making the best decisions you can, and re-evaluating things when the information changes?