Unsolicited non-clinical advice of any kind is usually inappropriate.
What I find nefarious is the illogical notion that faith is a light switch. Is it really possible to stop being Muslim or Hindu just because you went to work? Does that mean that the Jew or the Muslim can eat pork sandwiches while they're at work? Of course not! It is literally impossible to 'step out' of one's faith-based values or beliefs based on location or context.
Professionals of faith must respect the faith of others- and should expect the same in return.
I find that people concerned with religious communications of co-workers tend to be antagonistic toward religious expressions. Rather than hide behind the facade of service and anti- self-service, just come out and say that you don't want any religious expression at all at work because you think religion serves no useful purpose at work.
Deep down, such people are anti-religion zealots who exert more energy trying to stomp out religiosity than religious people exert sharing their faith with others.
Years ago, I lost a job because of such a zealot. One evening, we had a client being treated in the ER who just got word that her husband died a few minutes ago up on the unit. She was happy because her husband embraced her faith before he passed.
During my rounds, entered and politely greeted she and her family. I listened as she spoke about what was happening, without saying a single word. I just smiled, nodded my head to show I was listening, being careful not to utter any words or groans that might be construed as joining in religious conversation. With joyful tears, she grabbed my hand and spoke kind words of blessing to me. She said, "You're a believer, aren't you?" I nodded yes but said no more. She responded that she got the feeling that I might be and she made positive statement about what she believed my character was like. She believed my faith showed without me saying anything.
Just then, a co-worker came in as she said these words to me while holding my hand. He treated the client and gave no indication of his displeasure at this 'religious conversation.' All the while the client held my hand and spoke a blessing on me- as I stood without saying a word.
Next thing I know, I'm getting FIRED for having a religious interaction with a client. I did not instigate the conversation. I did not ask questions of a religious nature. I did not SAY anything of a religious nature to ANYONE. No prayer. No reading of sacred texts. Nothing.
A weeping client reached out to me and I just tried to be present- nothing more.
My supervisor called me in to her office and I was terminated a day later. When I explained that I did NOTHING wrong and explained exactly what happened, how it happened, my word meant nothing. The uncontested, unsubstantiated word of an anti-religious zealot cost me my job.
After that, I've learned to be leery of people preoccupied with the religious life of others. It's a zealotry often blinded by hatred or ignorance. You have been warned!