The demands only seem inconsistent if you don't look at the actual principle underlying them. Political discourse tends to present opposing ideologies as being about principles like "free speech" or "free markets" - it's really all about power, who has it, and who wants it.

In this case its strengthening particular social and economic hierarchies - america vs the rest of the world, and white christians over non-whites or non-christian.

What's interesting is that this is not necessarily a struggle between the top of a hierarchy vs the bottom of one, but between two different hierarchies. The democrats support cultural non racial and economic hierarchies, while the republicans support racial international and the same economic hierarchies. So while they both support the rich over the working class, there is a struggle over whether to support racial and international hierarchies. Democrats tend to support globalization, i.e unifying of the power of the top of the economic hierarchy across international boundaries, while eliminating racial and sexual hierarchies as they are seen as "inefficient" from a neoliberal perspective. Republicans are more focused on the "national elite", the rich people that depend on america being a global hegemon specifically, energy industry, military industira-complex, etc..