Muslim prayer times are not determined by the moon. Any assertion to such effect is not grounded on any facts at all. 

Muslim prayer times are determined by the time of day. Dawn, early afternoon, later afternoon, post-sunset, and night-time. 

In the workplace, there is zero disruption due to Muslim employees praying. We use our lunch or coffee breaks to go pray, and it doesn't disturb anyone else. We are using our own time (not company time) to pray. You use your own time to go smoke, or eat, or call a friend, or do whatever you like.