Absolute rigidity in applying dogmatic rules of living is inappropriate in such situations. In His many interactions with individuals, Jesus always demonstrated a personal attention to the malady or affliction or personal situation or disaster of that specific person, and He then always supplied a unique response for that particular situation. He met on the road. Jesus always applied compassion, consideration, gentleness, benevolence, patience, respect, sympathy, empathy, tenderness, and above all, love. Not dogmatic ideals.
All modern Churches have the responsibility to do the same.
Occasionally, it is necessary or appropriate to mention some other Denomination or religion during a Service. Unfortunately, in the many Churches I have visited during my life, these references have virtually always been derogatory references. Let's imagine what Jesus would say in our private conversation on such a matter. Well, each of those groups attempt to Worship My Father and to Worship Me. They don't Baptize properly.