Aren't murder, theft, and adultery matters of conscience?
I think what we need here --- and the Catholic and Anglicans may help us to get it --- is an adequate definition of what kind of conscience we're talking about.
A lot of people use conscience loosely to mean opinion, or instinct, or even a purely individual inclination or preference. The word itself indicates that it's not a purely individual thing ("con-science" means to "know-with," i.e. to know with the other people of God throughout the ages -- to have the mind of the Church.)
Before it has rights, the conscience has duties: The duties are to be formed and informed. Over the years, your conscience has to be formed by virtue, by habitual upright behavior, by thinking, accepting, and internalizing God's laws. Informed means that the person has made an effort to learn the moral principles which apply, plus the real factual basis of the situation.
Conscience is a student, not a teacher.
They are matters of conscience, yes, but are legislative acts in conflict in the area of "rights of conscience" when it comes to them? IOW, is the state forcing murder, theft & adultery via legislation & if it did, would one's right of conscience exclude one from participating?