No.
You want religious rights to trump everything else.
For example, you want businesses owned by religious-minded individuals to be exempt from anti-discrimination laws so they can refuse goods or services to gay people or couples.
However, homosexuality or transgenderism are not religions. So, if a GLBT or trans business owner declines to offer goods or services to a fundamentalist Christian person, they'd be guilty of religious discrimination.
You want employees to be free to refuse to fill a customer's contraception prescription. But if someone refused to deliver something to a right-to-life organization, the outcry would be huge.
You want a power imbalance.
There's a solution: Eliminate civil-rights laws of all kinds and let businesses or employees serve or deny service, hire or not hire whomever they please, with the caveat that government could not engage in a Jim Crow-style environment.
But then, Christians wouldn't be protected from discrimination. They'd be on an equal plane.