I don't think morality is objective. I don't think it is absolute. Sam Harris does though. And argues for Israel killing Palestinians under his "my morals are absolute" rubrik, which would be funny if it wasn't so murderous.
There are three levels of moral relativism, so I need to be clear.
Descriptive: Of course this is true. People have different opinions about ethics. Nobody even argues this.
Meta-ethical: I believe this too. I don't believe in "right" and "wrong". I think those are high-level abstractions, outputs from the circuitry, not fundamental aspects of morality.
Normative: I don't believe this. Normative moral relativists believe that because different people have different ideas about what is right and wrong, we ought to tolerate the behavior of people with different moral systems. I say nuts to that - fight for your own!