No and no, just your faceit rank. I've given my opinion on roughly how faceit ranks correlate to MM ranks below:-
Ranks 1-3 = Nova - low MG. 4-6 = MG - LE. 7-9 = LEM - GE. 9+ = semi-pro - pro
Ranks 1-4 or so are ELO hell, filled with stupidity the likes you've never seen before. In my experience this includes endless raging, generally abominable play styles/aim (seen someone go 1-2-27 before in a 16/14 game - terrible scores are surprisingly common) people surrendering and ending the game after the pistol etc etc etc.
This does seem to be quite accurate from the games I've played, a few looks at Steam Profiles will highlight (through bragging or screenshots) the ranks of most players and they seem to fall quite well into the above groupings.