I approach this with absolutely know special authority on the subject but it I were to offer an opinion on why Bitcoin is anti-democratic I would say that it is because fiat currencies are democratic. When a currency is supported by a government that government has some degree of control over that currency and that government, if it is democratic, can act on the currency based on the will of the people. (Obviously we could get into a big debate about oligarchs undermining democracy, etc, but let's skip that for now.)
If a currency like Bitcoin is adopted by too large a population of a given country and becomes a de facto currency it wrestles the fiat currency out of its position and eliminates any democratic control over currencies.
I understand that there are many, many hard-money libertarian types around here who see this and cry, "yes! freedom!" but my understanding of the scholarship on this sort of thing is that fiat currencies are very important for economic adjustments due to shocks. The Euro is showing us what a hard-money environment looks like as a natural experiment for Spain and Greece and it is not going well.
If I am an asset-holder I am a big fan of ensuring that devaluation can't take my riches away but if I am a technocrat trying to build a functioning economy for the long term that can deal will all sort of unexpected events and treat people without assets fairly I want a fiat currency. To me this is where the nihilism comes in, or at least Bitcoin represents an "I got mine Jack" view of the economy. That being said, now it is here and if it gain acceptance the world is going to need to deal with it. (A currency with a permanently tight supply sounds like a machine for creating constant recessions to me, but I'm no expert.)