I am unsure of what you mean by "public" funds, if you mean hospital run pharmacies, then I would agree with you, but if you mean just a pharmacy that agrees to accept Medicare/Medicaid, then there are already contract decisions in place, and meds that neither of them pay for, so I don't think that this should come into it, especially if the pharmacy does have other employees that will dispense without the moral conflict.
I worked for a clinic for years, and if I found out they performed abortions, I would either refuse to be any part of them (from scheduling, to billing, to support staff duties), if that then put restrictions on my employment, I would have had to make the decision to quit. Thankfully, my clinic had no part of that, so I never had to make that decision. I do not think anyone should be guaranteed a job with their moral conflicts, but if the owners ok'd it, I have no problem with it. Be it pharmacists, abortion, or in this case liquor to a Muslim.
"Same for the cabbies, if it is an independently owned and operated, or if the owner agrees (before hiring) that the driver will refuse fairs, then it is a private business decision."
The public license aspect of cab companies in most locations can, legally, place conditions on the license because, though operated by private persons, cabs are considered a "public conveyance" like a bus, a train, a plane, etc. Thus, again, I do not think operators of such "public conveyances" can enforce their own religious conditions on "the public"; whether they be a cab driver or an airline company; unless they operate soley in the manner of a "charter" outfit and as such, are incorporated to provide charter services for only a designated segment of the public.
For instance, in New York/New Jersey there are such bus companies that only operate as chartered buses, serving only daily commuters from the orthodox Jewish community, so that the men can be segregated from the women on the bus (with curtains as well as separte seating sections). They do not offer services "to the public", only to people who charter their services on the understanding the nature of their service. The Orthodox Jewish community sought the establishment of these daily charter bus companies because public buses did not have to conform to their religious restrictions. Conversely, such a bus company, if owned by an Orthodox Jewish person would not be permitted to operate on a general public bus service license and demand its non-Jewish customers segregate themselves between the men and the women. It could make those demands only on non-Jewish persons who wished to take their chartered services, who were told the nature of those services when they subscribed to them. Thus, in the New York counties north of New York City, you will see the Orthodox Jewish commuters and the general public being picked up (most often) by separate bus lines.