The jury is screened to make sure those 5% don't serve. All potential jurors are tested to see if they believe something like "it should not be illegal to kill an abortion doctor," or anything else that would cause an unfair trial before they are chosen. The college kids in Boston who get jury duty joke they'll claim to be racist so they can go home.
In addition, lawyers for both sides are allowed to pick a certain number of people to strike from the jury for any reason they choose. Assuming both sides have somewhat competent lawyers (although that's not always true), the chance of having an outlier on your jury is greatly diminished.