The Syndicate

also, we have had ties I remember, but usually the hosts in the tie work it out themselves. There has never been a problem that I remember

I don't think weighted votes will make anything any less cliquey to be honest. if a "clique" wants to vote a crap game because their friend is hosting adding weighted votes won't change that.
I feel like weighted votes just overcomplicates the process, but that's just me. I also like to vote for low vote getting options to make people feel good, so maybe I am not the best one to give advice.