That's a toughy

If the employee is a new starter, and declaring their faith prohibits the touching of alcohol, then I would think that must be accepted, and their picks should not include alcohol, but subbed with an alternative pick list....I admit, I don't know the procedures in distribution, or how easy it would be to adjust the picks to accommodate
If the employee is established, and suddenly declares this refusal is faith based, having done these picks in the past without any apparent discomfort or comment, then this should be investigated tactfully but firmly.
I would not think the picking of meat by vegans, or even condoms for others could be comparable, as the main concern would be the alcohol cases drop and break, with alcohol spilling onto the person. They probably use soap rather than alcohol based gel?
However....perhaps the Imam just thinks what we all think...by summing up daily problems from all walks of life, beliefs etc, in a nutshell