Not really. I've visited Native American towns in North America where alcohol is banned and the locals (at least the locals over 25 years old) are quite supportive of the bans.
Did BP have to create a special blend of fuel to sell in those communities to prevent petrol sniffing, because they did for outback Australia. It really is a uniquely fucked up place.
There are plenty of Alaska Native villages that are much more isolated than Alice Springs (for one, Alice Springs actually has a road going to it -- not the case with many Alaskan communities).
Some villages are "dry", some "wet". Both have associated problems.
It's almost like social problems can't always be solved by passing laws.