Wrong...the government is restricted from making or enforcing laws that prohibit freedom of religion.
The government. Notice your examples do not involve the government I'm pretty sure? And when they do, the rules are clear on equal opportunity. By those people denying an adoption for example, they are violating someone else's rights by law.
The Government is not private companies either. If a private company says you can't discriminate on the basis of Gender, Religion,
Sexual Orientation, etc then you can't. Don't like it? Someone else is more than willing to take your job.