Honestly, I don't believe people distrust science, I do believe people distrust certain areas of science, especially when politics is mixed with science, and the two become symbiotic and inseparable (One needs lots of free money, and one needs justification for more money, power, and control). That is where the distrust begins to creep in.
The same distrust exists within the mixing of religion and government as well. I don't think people would have the same level of hate for religion, or atleast Christianity, if people hadn't used it as a tool within government to control people and project their sense of morals upon everyone.
Ultimately, if you want people to start thinking you have an ulterior motive for things, invite a slick haired, snake tongued, power and money hungry politician into your corner and you will find plenty of people that will immediately begin questioning your motives.