Earlier quoted context omitted.
religion is a facet, or component of ideology.
I would not describe the defining parts of buddhism as ideological so much as philosophical and sensuous. I’m not sure a good definition of religion exists. You’re being hugey reductive.
In the non-jargon common sense of ideology ("a system of ideas and ideals, especially one that forms the basis of economic or political theory and policy", thanks dictionary) you're broadly right.