How about the moderators spend a week, or a month, whatever it takes; Just spend any amount of time to review users ips and their correlation with banned accounts. If you find multiples account bans on one IP, just ban the IP. People will disagree with this post... most likely because they either got banned, or know how they act in game is ban worthy. Anyone who is a casual player who '/mute all' would love to have toxic players ip banned.
How many times are people going to say, "Next account," after doing their best impression of tyler1 running it down mid.
Ip ban people and become the authoritative beast you can become. Oh I love the idea.