Of course it would be possible. Burn, delete and otherwise destroy all "holy" texts, figurines, icons etc, and reeducate religious people or separate them from society at large. Make sure children only learn about the real world in school.
It would take a lot of work, and some people would no doubt hide away all sorts of religious stuff that would keep popping up from time to time.
We'd need to eradicate all trace of religious influence and terms from our languages, songs, movies, books, games, art, etc etc etc.
Like I said, it would take a lot of work over a fairly long time, but it could be done. Religions came about at a time when people were very primitive and needed to explain and understand the world around them. They have outlived themselves to put it mildly.
It would be a very good thing to get rid of religions, and other beliefs. It's not a good thing when adults walk around believing in imaginary friends in the sky or other outlandish notions.
If people makes similar claims not rooted in religion, they'd rightfully get a diagnosis, but for some reason, if you can call it religion, then their magical thinking must be accepted. It's ridiculous!
It would be a good thing if everyone was on the same page in terms of what reality is.
Society absolutely do not need religion or other fairytails. In fact, the more secular the society is, the more advanced and civilized it is, and the freer its people. Case in point? The history of the real world.
That's not to say you can't have dictatorships without religion though.
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Preservation of our environment is not a liberal or conservative challenge, it's common sense.
Ronald Reagan