You see reason to equivocate between Left and Right when it comes to haters.
I think that's misguided. It comes down to the nature of it, which the difference between Left and Right helps to define.
A Left winger can hate a Capitalist society, and wants to see it torn down. His agenda is one full of destructive hate.
A Right winger will want to defend against that agenda. S/he is thoroughly entitled to hate it. S/he is fuelled by a desire to see the agenda neutralised.
One is aggressive and destructive. The other is defensive, honour and decency-driven.
It isn't reasonable to equate the two in such a way that you think they have EQUAL merit (or lack thereof).