"We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness."
Those are some the most powerful words ever written. The challenge a state or country has when attempting to live up to those ideals is by making sure that it's government is not enforcing laws with do away (equality) and due process. Bear in mind as the Declaration of Independence was being drafted slavery was still legal and women did not have the right to vote. Nonetheless it's the idea that everyone should have the same rights is what draws a lot of people to U.S. even today.
The government cannot legislate a person's heart or mind but he can enforce laws to make sure you are not discriminated against, discourage sexual harassment, and bigotry behavior.
One's freedom stops at the point it infringes on another person's freedom. It's a "love thy neighbor as thyself" or treat people the way you want to be treated mentality. Everyone is entitled to have their own principles, values, and beliefs as long as they don't lead to actions which would stop someone else from having their unalienable rights. Unfortunately without government intervention some folks would trample all over other people's rights.