It certainly does make sense to at least consider ML's player. The company has probably voiced the various components together.
It is often difficult to predict how components will interact, so I cannot say what will work well with your combination. However, based on my own personal taste and experience with ML electronics, I find their stuff to be very smooth and relatively free of brittleness and edginess, but, it can sound a bit dark and bit lifeless (in terms of microdynamics). I don't own any of their amps, but I've heard them, and I am an owner of of Ref. No. 32 linestage (now my back-up linestage). Overall, this is good gear and should sound good with ANY top-notch source. For my taste, I would try to punch up the dynamics a bit. I have a Naim CDS3 player and it worked very well with the No. 32 and it does have good dynamics.
A local dealer had ML electronics coupled to Ayre players and that combination also worked very well.