No. Most religions don’t. It’s just that the ones people are most likely to be familiar with, namely xtianity and Islam, are “universal” religions, meaning they proselytise. It makes sense that these would become the biggest and most well-known religions, because of this very thing -- religion was used as an excuse/justification for imperialism -- and so people often assume that’s just what religion is, but it’s not true for really most of the religions of the world.
Historically, polytheistic cultures, upon encountering other polytheistic cultures, would just assume that those gods are those people’s local gods and so on. It wasn’t a threat to them. But even among monotheistic religions, it’s really mostly just xtianity and Islam. Judaism does not care about making non-Jews Jewish; there are some basic moral principles Judaism expects non-Jews to adhere to, like not murdering, but in orthodox Judaism it is still customary to turn away potential converts three times before even considering them. The Druze religion is even more tightly closed. In order to be considered Druze, both of your parents must be Druze, and conversion and proselytism have been expressly forbidden for almost a thousand years. I’m not sure what the Bahá’í view on proselytism is, but they generally believe that the other world religions have the same core truths.
Many, probably most by number, world religions are ethnoreligions, not universal religions. That means that religion and culture are tied together. Judaism and the Druze religion are examples of ethnoreligions. That is why a person can be, say, an atheist Jew. Most indigenous/folk religions don’t care about what other groups believe and have no interest in making other people outside their culture conform to their beliefs. By number of religions, the idea that you hold an absolute truth that you must make other people believe (and the idea that you must do this because if you don’t they will not be “saved” and will suffer punishment) is very uncommon. It’s just that this belief has enabled a small handful of religions to dominate through colonialism and war and so those are the ones people think of when they think about “what religion is.”
I encourage you to read about indigenous/folk religions to understand this more. Here is a list of ethnic religions, to see the sheer number (and this is not necessarily complete, because there is some argument about terms like folk religion vs ethnoreligion vs indigenous religion and so on). I appreciate the politeness of the question, because there are a LOT of ex-evangelical atheists (or people who grew up in what we call “cultural xtianity”: you may not be religious yourself, but you grew up in a society that was heavily xtian, had xtian holidays as the mainstream, and absorbed xtian values/philosophies as part of cultural norms, and because this all seems normal to you, you have a blind spot, because it’s hard to see our own culture from inside, especially when it’s the majority) who are very keen to disparage all religions as being identical to the brand of fundamentalist xtianity they are familiar with, and it’s a racist and harmful position that they are VERY reluctant to give up. Because a lot of these religions are ethnoreligions and inseparable from culture, wanting to eradicate all religious practice/belief is the same as cultural genocide. It’s important to understand that A. you have this blind spot, and B. that most religions are not like xtianity, and religion is not synonymous with right-wing politics, homophobia, sexism, violence, controlling rules etc.
