Not quite. It also prohibits Congress (the only law making body of the gov.) from making any laws respecting an establishment of religion meaning it can't make laws having to do with how the people establish religion thus the wording of it.
Amendment ICongress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the Government for a redress of grievances.
Notice how it says 'an establishment of religion' not 'the establishment of religion'. It covers both aspects completely. Congress can make no law instituting gov. mandated religion and no law respecting (concerning) religions that are established.
Oh. Which religion is Judge Moore establishing?