They're certainly entitled to think that, and they're entitled to full respect for their opinions... but before I can live with other folks I've got to live with myself. The one thing that doesn't abide by majority rule is a person's conscience.

This quote means that everyone has the right to their own thoughts and opinions, and they should be respected. However, no matter what anyone else believes, a person’s own conscience is the most important, and should always be followed. This means that even if it goes against what the majority of people think, a person should follow their own morality.