Prayer before government meetings is not unheard of. The US Senate and Congress both have several chaplains of the major faiths who open their proceedings in a rotating fashion. Neither the ACLU or the Supreme Court has found anything wrong with this and it has been that way since the beginning.
Can you show that governmental prayer leads to more inspired legislation? Not really.
Prayer is a strange thing. If you ask for stuff, as people, including chaplains usually do, you are often disappointed in the results. On the other hand if you express gratitude for what you already have or express concern for others bounty flows in unexpected ways.
Believe it or not...