There needs to be transparency
Riot needs to publish MMRs of players in the match history screen. Every one trying to climb and dealing with Riot's own admitted issues with matchmaking deserves to see exactly the spread of players they have had to deal with. I understand that this information, if given prior to a game would potentially result in very toxic behavior but after the match, which involves players you likely will never queue with again can do no harm. What it can do is provide the following
1 - it will reduce negative feelings about losses. If you see that a fair match was made and you lost players can accept that.
2 - It will either prove that no one is getting screwed by poor matchmaking and wildly swinging MMRs or it will prove that exact things has happened and allow players to take an appropriate stance on the issue and further more it can only help to have this info so we can see what/if Riot is making improvements.