These are not two distinct oppressions. Religion is part of the superstructure (i.e. the state, the laws, the culture, etc.) which is held up by the class struggle and the socioeconomic dynamics of power. Religion, like the state, is simply the tool and not the cause of oppression.

In a capitalist society, the superstructural institutions are mobilized to protect capital. Those could and were effectively conquered by the oppressed class at times in recent history, including religion. An example would be liberation theology in Latin America, or the movements of Marxist Muslim scholars in Central and South Asia.

Right! "The way of the great peace." Peace for us, step 1: violently overthrow the corrupt ruling class. Not that I'm disagreeing, that's an example of someone preaching peace and finding that it doesn't exist without standing for the people, and protecting them from oppression means killing those that are doing the oppressing (Ed Sheeran in shame), we're just putting that in a book and calling it a religion.

To be fair, in China through these ~500 years, every current of thought or philosophy was called a religion, and the line between religion, politics, and philosophy, was pretty much nonexistent. If someone had an idea and put it in a book so others can think about it, that was a religion. It's a bit weird for us today to read "legalism is considered a religion? and legalism is... Absolute administrative power, everyone is equal under the rule of law? Sounds familiar... Oh, there you go, the ruler writes whatever he wants and then kills whoever he wants by designating them as enemies. Like those dummy thinkers and book-writers." "all right, fine, let's look at Mohism: egalitarian society and universal love, cool! First paragraph on Wikipedia: paramilitaries-- oh."

The rebellion against the oppressive regime? That one?