One thing I might have neglected to mention about a society without government is that it can work if its automated to a large degree (or should I say, a Cybernated society).
We shouldn't be afraid of technology (this fear mainly stems from the idiotic Hollywood movies written by people who have little to no understanding of how technology actually works).
We aren't infallible, yes... BUT, we also don't make our technology for betterment of everyone, nor are we creating it to LAST (to not break down).
Planned obsolescence is intricately designed into the current system because it drives profits... other than that, we've known for a LONG time how to make technology that requires little to no maintenance and doesn't break down.
We already have machines that build other machines, that are self-maintaining, etc...
Machinery/robotics/computers SHOULD be used to do 'the dirty work'.
We also delegate decision making to machines in exactly the manner that you described... to arrive at informed decisions - however, this is expanding at a large rate to other areas.
You don't need governments to organize thoughts.
Governments CANNOT represent EVERY person on the planet because there are simply too many people who think for themselves and have their own ways of thinking.
Governments can only generalize - and with people in positions of power, you ALWAYS create a setting that is subject to 'power grabs' (regardless of how 'noble' an individual may be).
To create a system without government, you'd need global communications... which we already have had for some time (though it would require some minor modification to allow for direct democracy of sorts).
If you would like something done, you can set up a proposal in an area you wanted it to be made, and see how the people in that area will react.
How will this benefit their lives or influence the environment, and is it sustainable - those are the kinds of questions that people should be asking.
People don't need governments to voice what they need/want be done... they can do that themselves.
And once the global population is exposed to relevant general education, along to notions of sustainability - their behavior will quite likely change as a result.
As for power grabbing behavior... as I said earlier, that kind of behavior is not generated out of nowhere - it needs an environment that prompts this kind of thinking and has a setting where it is actually possible.
In a cybernated society... this kind of behavior would be extremely unlikely to manifest (especially if its NOT encouraged)... and even if it did, there would be no 'power' for anyone to grab a hold of.
Imposing ones will onto another is a behavior based on the present-socio economic system that prompts notions of 'ownership'.
Access abundance (or a system of on-demand usership) could easily do away with 'ownership' type of behavior.
The transitional period to a resource based economy in the real world WOULD require a government an usage of money - but only for a limited amount of time (about 10 years) - after which, both would be dissolved intentionally (as it would be known its only temporary).
The only reason Trek decided to keep governments (and other things that still exist) and superimpose them to the Federation, is because its something 'relate-able' to the viewers.