A libertarian is not "left", so don't lie. If it's something, it's right.
I disagree, not necessarily. The left-right axis comes originally from the moral position of the ideology, not the economical one; if you say to be a libertarian is to support an economic system, you can still choose wether you are conservative, liberal or reactionnary in societal values.
Although being a libertarian usually makes people consider you as rightwing, it's not a must.
Economical position never totally defined an ideology. See nazism for example. Left economics, but far-right morality: that's why it's considered a far-right ideology, and not a socialist/leftist one. Same for Le Pen in France, left economics, but far-right morals. Morality beats economics in ideologic positions.