And we haven't even gotten to the 1st amendment yet.
If I can make no law respecting an establishment of religion, and I deny government jobs/appointments to those that have a Christian conservative religion, then I have just established a religion.....a religion that excludes others on the basis of their particular faith.
Also, there shall be no law denying free exercise of religion. If I deny government jobs/appointments to those who have a Christian conservative religion, then I have told them that the free practice of their religion is inimical to their pursuit of a livlihood, that they will be discriminated against.