This bestows unnecessary glorify upon the left.
We're always talking past eachother when we use these terms because we assign different meanings to them. Going by your definition of "the left", much of what I call "the right" is allegedly "the left", since you seem to essentially equate statism as a whole with "the left". But I would think that libertarians should know better than to actually accept the false dichotomy presented in most political discourse in which "the left" equals more and more government while "the right" equals less and less government. This dichotomy is rather blatantly falsified by a libertarian analysis of contemporary politics.
Modern leftists are bigger fans of democracy than their rightist counterparts; in fact, they always use (democratic) collectivist rhetoric to justify their theft and coercion (taxes aren't theft because "society society agreed to them")
Support for democracy is generally manifested among most people of all political persuasions. It is simply a common assumption in modern western society that democracy is good. It's not exclusive or specific to the political "left" by any stretch of the imagination. Furthermore, the neoconservatives are democracy fetishists and essentially advocate global democracy. Yet they most certainly are not political "leftists" in any strict sense. At the same time, despite Hoppe's brilliant comparison between democracy and monarchy, I see no reason why I should necessarily have more respect for monarchists.
The reason that I feel libertarians are closer allies to the right goes beyond my signature; rightists generally have respect -- no matter how inconsistent their other views are -- for the concept of the individual.
"Rightists" often have their own forms of collectivism that they tend to cling to. Collectivism is not specifically "left-wing". Politial individualism derived from what used to be considered the "left". The idea that "the right" are a bunch of "rugged individualists" is largely a pop culture myth. I consider nationalism, racism, theocracy and various forms of traditionalism to all be collectivist views (and they are embraced more by political "rightists" than political "leftists"). To extreme traditionalist "rightists", the individual is not the primary unit of value. Instead, the individual must be a servant to "the nation" or "the culture". Emphasis is placed on certain collective identities, just different ones than what many political "leftists" tend to emphasize.