Religion without the supernatural is just philosophy. I had always thought the Hinduism relied on supernatural beliefs though.
Not all religions require you to
live as though ones' Gods are real or judging. I shall use the example most familiar to me, my own(Norse/Asatru);
The Aesir & Vanir, whether real or just archetypical concepts given name & shape, do not meddle in the affairs of Midgard often or even regularly. There is no punishment nor reward for
belief or lack-of in this, because even if the Gods are real they do not see fit to judge us on how we live our lives. What I do, and what Asatru as a whole
generally do is exactly what the name(Asatru) means. It means "Respect of/Honourer of the Aesir & Vanir". Or rather that's the best translation. We are treated as equals, and we beseech our Gods in the same way you ask a friend for help or guidance.
They are flawed beings as well, which does a great deal to aid in relating to them. Thor is quick to anger and equally as quick to cool, Odin is capricious and can be treacherous but is also just & respectful even of the lowest, Loki is a trickster & revels in chaos while at the same time happy to aid mortals and loves his wife dearly(perhaps the most monogamous god in mythology really). It is possible to see parts of yourself in them. They don't claim to be all-powerful, they don't claim to always do the right thing, but they also don't expect
us to be any of that either. The majority of the Gods barring Thor*, generally aren't terribly interested in what we do down here save for their own personal interests in portions of our society. They have lives of their own to live.
*One of Thor's titles is "Protector/Friend of Mankind". He's also the Protector of Thralls(translated as slave though with even more rights & protections in Viking than what you find in Rome, so more like indentured servants who were regularly released from Thralldom both with and without fully paying their debts). Why is that important if he is also Protector of Mankind, given that obviously all Thralls are human? Because the fastest way to get on the Thunder God's bad side is to beat or make miserable those you have power over for one reason or another, even if it's just a modern-day employment situation.
Basically; it is possible to believe in a religion but still
live like an atheist. It's what I do. I do not make decisions based on whether or not the Gods are real. The
original Norse didn't either. There is an old saying that goes like so- "Treat well & respect your kinsmen, honour the Gods if you so desire, but as for your faith it ought only to be in steel".