My opinion:

1) You could see the mix as an "ode" to the original JM mix.... Especially when it was your main inspiration for starting to play.

2) Your mix will be your impression of that mix anyway, it can never be exactly the same, even if you would want it to be...

3) As long as you don't take the original mix by JM and put your own name on it, it's still YOUR mix.

I wish ya good luck, and show us the result!!!!