No. "In God We Trust" establishes no religion, as numerous different "religions" believe in "God".<quoted text>
"Congress shall make no law respecting an establishment of religion"
"In God We Trust" is establishing religion.
So much for your secular democracy.
The prohibition is against Congress passing federal laws with respect to "establishment(s) of religion", which means an official government religion.
You have not one clue what the establishment clause means.
The government can constitutionally say or write or declare anything about God it wants. This violates nothing in the Constitution.