I would not mix these coolants even though they say all makes and models. Also, is the coolant you have a concentrate or 50/50 mix?
The reason Iím asking is because if you have 50/50 mix and want to do a complete system flush with distilled water, you will not get a proper 50/50 mix in your system. You basically have to flush using 50/50 mix coolant to keep the ratio at proper level. This is really wasteful and expansive since 50/50 mix is not much cheaper than the concentrate and from my experience Mazda system needs about 4 radiator drains and fills to get most of the old coolant out. I posted pictures in the coolant how to:
If the coolant you have is a 50/50 mix, I would try to return it and get the concentrate of your choice instead, flush the system with distilled water, about 4 drain and fills with distilled water should do the trick, make sure you run the engine with heat on to flush the heater core as well.
Mazda cooling system is really nice for flushing because the whole system holds almost 2 gallons of coolant (7.9 qts I think), so basically once your system is full of distilled water, drain the radiator (it should drain a little over 4 qts), then pour in the entire jug of coolant concentrate. Run the car with the cap off, to burp any trapped air, the coolant level will go down a little, if it does top off with distilled water until it no longer drops and stays at full line mark. You will be pretty much at 50/50 mix, no need for pre-mixing in extra jugs, no messing around, just one jug of concentrate is all you need.
I would recommend switching to something popular, like Motomaster or Prestone, so that later on you only need to do radiator drains with the same formula and then you can use 50/50 mix safely.