The US Constitution says nothing about encouraging education. The US constitution doesn't establish any taxes but it did let the government make taxes. The US constitution doesn't require a balanced budget. The only feature that they have in common is that they both guarantee individual freedoms.
Great Awakening was when people woke up to the need of religion in their lives, and it embraced the downtrodden such as farmers, the blacks and the slaves. On the other hand, Enlightenment remained in the hands of the intellectuals and the scientists.