The first amendment restricts the establishment of a national religion, it does not restrictlegislators from making law "based on or 'influenced' [caused] by any of the establishments of specific religions." The amendment simply does not say this and has never meant this.
The 1st Amendment quite clearly restricts our legislators from making any law "respecting an establishment of religion".
Agreed, religious men are free to "influence" [urge/induce], but officials sworn to support the Constitution are not free to make law based on or 'influenced' [caused] by any of the establishments of specific religions.
The first amendment restricts the establishment of a national religion,
Yes, it does. It also stops legislators from making law based on the establishments of religions. - Would you want Islam to be the basis for some local laws? I doubt it.
it does not restrict legislators from making law "based on or 'influenced' [caused] by any of the establishments of specific religions." The amendment simply does not say this and has never meant this.
Dream on that religions can legislate 'laws' in a free republic. -- Why you would want such power for State or local legislators is beyond comprehension.