On what grounds do conservatives justify social hierarchy?

A social heirarchy consists in differences throughout society of factors such as status, income, and involves widespread inequality. Conservatives, to a far greater extent than those on the left of the political spectrum, have supported these on three main grounds. The first of these is stability - having clearly defined rulers who maintain respect and authority ensures that law and order can be properly upheld. They also incentivise in that people have something to aim for - if all are equal, they would argue, we are not responsible for our actions and we do not have an incentive to work harder. Finally, they view this heirarchy as an inevitability of society - there will be those who are gifted, and those who are not, and there will be roles that should be carried out by the left gifted, and those which should be carried out by the more gifted. As conservatives advocate an organic society, they are wary of trying to disrupt this natural order.