One of the classic debates in metaethics/moral psychology is between motivation externalism and motivational internalism. This debate seems to be in the process of being resolved by neuroscience, in favor of motivational externalism.
Moral motivation for humans is an empirical question, but no universally compelling arguments = externalism for minds-in-general, no? And internalism, not "objective morality", is the precise term we should be using for the spooky thing we don't believe in.
There are many Less Wrong posts I'd like to write, but I'm starting to admit there are some of them I'll probably never get around to. I need to be doing other things. If anybody wants to write up the post ideas below, go for it! You may also want to announce you're working on one or more of them in the comments, to avoid duplicate work.
In no particular order...