IF CZ was smart, and offered the P01 with a manual safety - no question on the CZ P01 - fairly slim, nice grip, etc. (PCR is better here). However, I think most folks UNDERESTIMATE the training required to go DA/SA. Having that first pull being LOOOOONNNNNGGGGGG, is tough - albeit a little better for the half cock of the P01.
MP has a consistent, decent, short, combat pull for all shots. So... it is what you want - you have to nkow what you want.
The finish is more durable on the MP, and the compact is a little more concealable.