"Congress 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.”

Can you point out exactly where in this passage it states the government can't interefere with the church, and grants the church any greater permission to interfere with the government that any non-religious association or individual citizen possesses?

All I see is tesxt stating cannot unreasonably prohibit the free exercise of religion (it can reasonably prohibit some aspects of free exercise, of course, or else human sacrifice would be permissible), and it is itself prohibited from engagin in any action that would result in favoring any one religious tradition over its competitors.