I do not mix fluids in brakes. I just mixed them on the workbench to see what would happen. I saw no gooey messes.
I currently use Dot 5. It is benign, but extremely expensive. It also has a Mil Std number if that impresses you. The TCDS does not specify what brake fluid to use, but Piper used automotive.
Before I went to silicon fluid I used Dot 3/4 in the J-3. My expander tubes reacted with displeasure when a mechanic convinced me to use 5606 in the 1960s.
Dot 5.1 is like Dot 3, not like Dot 5. They are just trying to confuse you.
On the master cylinders - I use Grove, but if you still use diaphragms, make them from Buna N, and they will not care what fluid you use. Leave the bottom screw out, and use 8:32x1/2 socket head screws elsewhere. Carry a spare diaphragm and a ball end hex driver, and you can change a diaphragm in ten minutes flat. If you are stuck in Ogallala, you can use a truck inner tube for your diaphragm. Ask me how I know that. Train watching is great in Ogallala, and I was celebrating escaping from Stapleton's TCA without a transponder.
I use 5606 in the Decathlon. I do not like it, but since I fly twice a week it does not get all congealed and messy. I was going to convert, but Dot 5 went from five bucks a quart to thirty!