One woman had reasonable concerns about a wind farm proposed near her property. Some people have problems living very close to wind turbines. She admitted that she wouldn't want to live next to a coal power plant either.
The people I know who lived near a wind farm didn't mind, and personally, I think the steady turning is relaxing. Most farmers benefit from the leasing agreements and still farm around the turbines.

The others in the group I spoke to made a few exaggerated claims and repeated arguments I've heard from nuclear and coal industry advocates. Their strongest arguments were about the unpredictability of wind as a sole power source, but I'm not aware of anyone suggesting we get 100% of our power from wind. I've heard fossil fuel industry engineers set up that straw-man before.
One person was very quick to point out that they weren't backed by any industry group and nearly as quick to say that nuclear, coal and natural gas were the likely solutions to our energy problems. They gave vague answers about who they were and how they got together. I know I'm suspicious about these things but my skepticism usually serves me well.
No power source is without drawbacks so it's a matter of choosing which ones have the lowest negative impact. Living next to a wind farm won't have the negative effects of living near a coal plant, including birth defects, male sterility, higher asthma rates, contaminated fish and so on. Wind farms aren't nearly as destructive to farmland as long-wall mining methods. The known downsides to wind are minimal in comparison to coal pollution and nuclear waste. I didn't hear this anti-wind group propose any better alternatives.