I wouldn't say those links back up the claim that "inevitably the result is that parents believe incoherent, idiotic, woo-woo rubbish."
Firstly in those studies, most children received at least some vaccines, with varicella being the most commonly refused (that's chicken pox - which isn't vaccinated against in the UK as the JCVI believes that it's not worth it. Is the JCVI taken in by "incoherent, idiotic, woo-woo rubbish"?).
The pediatrics paper concludes: "Parents who exhibit doubts about immunizations are not all the same. This research suggests encouraging children's health care providers to solicit questions about vaccines, to establish a trusting relationship, and to provide appropriate educational materials to parents."
So not forcibly vaccinating then.
Fro the JAMA 2004 paper:
"Most respondents (>90%) in all groups believed vaccinations are important. In each case-control group, there was no significant difference between the percentage of case and control parents expressing general vaccine safety (range, 53.5%-64.1%). However, case parents were more likely to have asked that their child not be vaccinated for reasons other than illness (range, 10.2%-13.7% vs range, 2.9%-5.3%, respectively) and to believe their children received too many vaccinations (range, 3.4%-7.6% vs range, 0.8%-1.0%, respectively)."
Sounds like most parents had some level of concern about vaccines, it's just that some were more likely to act on it than others. Also the belief that children receive too many vaccinations - or at least that they receive too many at once does have a foundation in science as discussed up-thread.