Rightoids operate on the first 2 levels, which are normally acceptable in children.
The first level of morality is simply avoiding punishment, whereas the second one is doing things for a reward. This is easy to observe in the strategies used to appeal to rightoids: fearmongering and treatlerism.
If you tell a rightoid that [insert minority] will do [le bad thing] but that if they [do X] then they get treats, then that's all you need to do to get them on your side.
Liberals operate on levels 3 and 4. Level 3 of moral development is trying to be a "good boy". Liberals usually just adhere to the status quo in a way that is almost religious. Whatever is socially accepted to be the "right" or in other words the "good boy" answer to any question is without fail what the liberals will say.
Level 4 is strict adherence to rules and law regardless of their effectiveness or overall usefulness. I don't think I have to explain this.
Communists are the only people that operate on level 5. Level 5 is being capable of ignoring social consensus as well as laws, preferring to look for answers and solutions that truly benefit the majority.
I will ignore level 6 because Kohlberg could never prove that it existed.