If "A" belongs to a "religion" which has, as a basic tenet, "Thou shalt not have dealings with anyone who belongs to a religion that does not believe that _[fill in the blank]_." and if the laws of the country state that "A" is not allowed "discriminate on religious grounds", do the laws of the country not "infringe" on the constitutional right of "A" to the "free exercise" of their religion?
If "A" belongs to a "religion" which has, as a basic tenet, "Thou shalt not have dealings with an 'unclean woman' and defines 'unclean woman' as a female during the latter phase of their menstrual cycle and if the laws of the country state that "A" is not allowed "discriminate on religious grounds", do the laws of the country not "infringe" on the constitutional right of "A" to the "free exercise" of their religion?
The trouble here is seen most clearly in the second example. How can A know whether or not a woman is in the latter phase of her menstrual cycle in order to avoid her? He (and I'm making this realistic sexist assumption) can't know, because she has the 4th Amendment right to security of person, papers, etc., and so doesn't have to make this knowledge public. So the very practice of the religion has problems in this country, because the religion has to adapt to people having certain rights which prevent people from having knowledge they need about others to practice their religion.
Another case might be proffered. Some time ago, a woman in Florida was pulled over by a traffic cop. She was wearing a full burka or chaderi, which covered her face completely. She was told she couldn't drive that way because, in the event of a traffic cop needing to check her driver's license identity, her face would have to be available to visual inspection. I vaguely recall that she couldn't use her freedom of religion for defense, and the case is quite similar to those in France which led to a law against full face covering on religious grounds. Here, though, she had a right to be burka'd while walking, just not while engaged in driving, because that activity required a retractable government-issued license.
A more popular example would be the Christian anti-abortion people who can't stand it that pregnant persons can keep their pregnancy private. They have wanted to know whether there was an embryo or fetus inside a woman and force her to continue any pregnancy. Unfortunately for them, the 4th Amendment means that they can't force her or her doctor to reveal her pregnancy. This has given rise to a new post-Roe problem.
Missouri wants to prevent pregnant women from leaving Missouri to get abortions and has been trying to figure out how to prevent them. But it is basic to American freedom that any legally competent adult is free to leave the US and go to Canada, Mexico, or international waters or air space and free to go from one US state to another US state. (And legal adult parents have the right to take their kids abroad or to another state). The US or state government has no right to know why he or she is leaving, let alone interfere. Missouri's problem, like that of anti-abortion people in general, is that they can't stand it that pregnant women are allowed to be competent. They secretly want all pregnant people who want abortions to be declared incompetent so the state can use their bodies as if they have no conscious mind or reason at all.
Still remember that case in Texas where a pregnant woman was brain dead and therefore legally dead but the hospital kept her technically alive by artificially pumping blood in order to make her body continue to grow the fetus - against the expressed will of next of kin and every family member?
I'm sure this is about more than just freedom of religion, but the point is, you should be free to practice your own religion within your own person. It shouldn't guarantee you control over other people.