You currently can't quite achieve the same thing the Mimiq does in the AxeFX. The Mimiq does a few things, but, as I understand it, the key feature of the Mimiq is the the delay time between the voices changes when a note is struck, then remains the same until the next time a note is struck. That's the way real double tracking works. You play the same note on two guitars, but they start at slightly different times. However, the delay between them will remain the same until you play the next note. At the next note there will again be a slight delay between the two guitars, but that delay will be different than it was for the first note. The important thing is: the delay time only changes when a note is struck.
A lot of these efforts to mimic a Mimiq in an AxeFX sound good, but they're not the same as a Mimiq. They either don't vary the delay time, which sounds like an old-fashioned ADT, or vary the delay times randomly, which doesn't sound realistic.
That said, the Mimiq isn't perfect. Accurately detecting when a note is struck isn't easy and the Mimiq doesn't always get it right. It's good, but there's room for improvement. In any case, your results will depend a lot on where it is in your chain. It's best to insert it early, before any compression or distortion.