If you refuse to fly the Max then you should also refuse to fly the non primary US and Anglo airlines. The Max will be safe, however at the margin, it comes down to pilot training and expertise. And you can't get away from the fact that most US and Anglo airlines have former military men who have seen combat/experience over the past 20 years.

As an aside. I travel globally including Asia and GCC, and always take UA/LH getting there. Inside the areas, I try to go the bigger airlines; e.g. Singapore, Emirates, Gulf, who have training programs. However, did fly Malaysia the other day!!!!