Max Weber’s “The Protestant Ethic and the Spirit of Capitalism” goes into how protestantism cradled capitalist growth. But I think it’s a bit heavy handed to say folks support capitalist ideology. You don’t really support ideology. The ideology is what supports capitalism or is capitalism itself. But Protestantism is generally has individualistic beliefs. No longer does the clergy intermediate relation to God. Protestants believe individuals have a personal and individual relation to god. This sense of individualism can overlap with capitalist mentalities of individual success and profit.

But I think your use of ideology is too vague and understanding of religion is too generalized. You really need to talk about particulars of specific religious beliefs and particulars of specific attitudes towards capitalism. There’s not much to really comment on with such broad and vague brushstrokes.