You should want your election results to coincide with how YOU and the other voters think things ought to be. That's the point of an election. Range Voting will give you almost as big of an improvement over your current system, as your current system improves over drawing a name out of a hat. Think about how much more representative winners become by going from random selection to your current voting method. Now add another 80-90% of that increase. Do you really want randomness to play such a huge part in your elections?