If 1/12th of the overall population thinks that way, it does not seem unreasonable for a jury of 12 to be a fair cross-section of the population. In fact, the opposite seems unreasonable to me.
I don't think that it's the court's job to ignore laws that are unpopular. In that way, anyone who admits to having a strong opinion, which may preclude them from objectively interpreting and applying the laws that do exist to the case at hand, should not be on the jury. We're not polling the population/jury "should these actions should be illegal?" but instead asking "given the laws today, are these actions illegal?"
