I think we're in total agreement. Libertarians share platforms with both the left and the right; we call them "left-libertarians" when they find themselves most

I think we're in total agreement. Libertarians share platforms with both the left and the right; we call them "left-libertarians" when they find themselves mostly voting in alignment with the left, and "right-libertarians" when they find themselves mostly voting in agreement with the right. European libertarians, coming from the background you describe, much more often find themselves on the left than the right.