What is wrong with a one minute silent prayer or silent reflection ? 
I am not religious in the way Christians or other organized religions are but I was brought up to respect people's beliefs.
 Alaska Native/American Indians gatherings and meetings we open with asking the creator or the spirits of those who have gone before us, to guide us with wisdom in our decisions. 
We ask that everyone there treats one another respectfully as our elders taught us. 
We give thanks for being able to come together as a people, for our food, homes and our children. 
Thanks is given to our elders and to those no longer with us.
If I go to a meeting where people open with a prayer, silent or not, I respect them by listening to it. I silently give my "own" prayer as I was taught. 
Governing is a serious endeavor.
Our actions set an example for the young people who will one day take our place. 
Civility and respect seem to be disappearing qualities or virtues.
A brief silence to reflect or pray is fair.