Not true. There's never a perfect symmetry. There is more hate on the left, and there's a reason for it, namely that the left is out to create heaven on earth. When you're out to create heaven on earth, you're entitled to hate those who oppose you. In fact, it would be a sin not to. So they hate. They are full of hate in a way that the right simply is not.
Not sure that is quantifiable, but interesting perspective you brought.