Earlier quoted context omitted.
It's not just Republicans, it's all the Christians they're in league with, and who vote for them. The philosophy you describe is modern Christian theology. It's called "Prosperity Doctrine", and basically boils down to "God rewards those he loves the most", so rich people are better people than the rest of us because obviously God loves them more and has bestowed gifts of wealth upon them. Go into any American megach…
You are painting Christianity, even just modern American christianity, with a very very broad brush, but there is a connection between prosperity theology and predatory capitalism. But I think it's mostly that prosperity theology is the expression of predatory capitalism in the domain of religion.
Prosperity theology (in its original form of the Calvinist visible elect) is older than capitalism, so if anything I'd reverse those: capitalism (which is inherently predatory, as noted in the initial critiques in which the system was named) is an expression of prosperity theology in the domain of economics.