No, it’s not getting in the way of her work. Her prayer takes about five minutes each time, and she performs two of her five daily prayers at work (the other three occur at times of day when she’s home). That’s a total of 10 minutes away from her desk a day, which is within the guidelines of break time we are allowed (we have employees who spend more time than that smoking, brewing coffee, or even going to the bathroom).
As far as secular humanism goes, you fail to make a case for it’s being “imposed as the national religion”. Merely saying that it’s hilarious that I refuse to acknowledge it isn’t making a case. That’s just saying that you don’t have a case.