Wow, Okay....
First off, You there! bludclaut, That system you have suggested, it sound's nice, however one small flaw...If someone on the team is doing poorly, and in all honesty they are trying they're BEST to get better, but the team decides, "Vote off the Island" Tell me which of the below would that make you feel if that happened to you?
(A) Feel encouraged to continue Playing
(B) Seek out revenge and do it upon someone else
(C) Feel rejected and contemplate not playing anymore, Uninstall
(D) Personal Alternative, Explain.
People, This game will always have Toxic players, I myself use to be VERY toxic, VERY! it was not until Tribunal warned me and gave me a 5 Game chat restriction to show that big brother is watching. Should it take a punishment to change? No, I was wrong in all aspects. However, I started right, and slowly became toxic because there was no one there to motivate me otherwise, due to my own lacking. However, I decided to throw that part away, sure it crawls out slowly, but when I realize that it's coming out, I Mute Players. Pings still work from Muted players, continue playing the game and enjoy it.
Smite for example does not have "All" Chat, You can only chat to your team-mates and yet you can also ignore them. The Ability of All chat can become VERY toxic sometimes to certain people, not everyone, just certain. So, A11FATHER, You and your friend may just need to mute everyone on the team for a short awhile, JUST to get your aspects back in line, then unmute, as you start to see negative players, and after a chance of being friendly disposition to them, if they continue, Mute them right away, no questions asked. If you see the enemy team Gloating and taunting, Mute them, take ALL chat away. You do not need to know what the enemy is saying at all, so please, Mute, Mute, Mute!! it will be your Ally against Toxic Players.
For People who go AFK, You cannot change or help this, It's been stressed to Riot many of times to replace them with an AI, problem with doing that it would not be a pure PVP Environment as the game states. It would then be something else, because an AI is on your team, it is no longer Player Vs Player. =( Sorry folks, just take the loss or strive harder for victory with teamwork and encouragement. It can be done, 3v3 or 5v5, I've seen it done. rare, but possible.
Anyways, that's all I got on this matter, I'm sure some of what I said would be targeted, Just remember to keep it clean and constructive. =) Good luck and Have fun Summoners.