And that's mostly because misinformation, lack of moral judgement and the unwilingness to crawl out of the bubble abound in the younger generation. Not to mention, the perpetual worship of false idols.
The odd thing is that supossed secular, foward thinking establishements are becoming a cesspoll of mysoginy, racism and anti-critical thinking...
I don't know what you're getting at with the bolded. Exposure to/tolerance of religion I don't think necessarily has anything to do with openness to experiences.
As for your second part, well, if you're talking about evolutionary psychology (a branch of psychology with repeated supporting of heteronormativity, general inability to address LGBT issues) or other cultural legacies (Confucianism has misogynistic tenets, like "no woman is suppose to occupy a position higher than a man in a post" or that woman are born with filial debt) sure.
But it's no accident that the Abrahamic religions have strong affect with movement conservatism and conservative values in general. Sure, you can be a feminist and a Christian but you probably don't believe in Christianity for its progressive values. There are misogynistic undercurrents in the Bible (Abraham had concubines, and that's just for starters!) Some followers of Islam are no slouch for regressive values either.
http://neogaf.com/forum/showthread.php?t=551932Jarring graphics. Huge percentages of people who find homosexuality, suicide, abortion, euthanasia, alcohol consumption, and sex outside of with the wedded spouse abhorrent. Lots of people who want Sharia Law to be the official law of their country Though incidentally, the people surveyed are also sharply critical of acts of extremism and consider basic economic problems such as unemployement to be highly pressing issues. Also a Pew study, and it's 38k worldwide survey
Other things about the bible notwithstanding, like the Genesis story being bogus and other such magic as turning water into wine, multiplying food, turning people into salt, raining burning sulfur, etc.
The "Moral Majority" doesn't have sway right now. It's not relevant within mainstream conservative discourse (I think mainstream lots of things suck but whatever) because currently the conservative memes with positive affect are liberty and protection from government intrusion. A not totally congruent stance for people who want Roe V. Wade overturned. But there is an ebb and flow; neoconservatism in the US isn't dead, and social conservatives are a huge voting base for Republicans so they'll never go away.
Also, the notion that secularism is "radical" outside of a purely academic discussion is bizarre. Religion has little place in informing the policy, values, and law for a constantly changing society, unless religions change with it. This is why I support not making LGBT issues a civil/voting issue, because people who don't want to recognize equal standing for non-heteronormative people shouldn't be allowed to have a say. If historically Abrahamic religious fundamentalism hasn't been totally supportive of things like homosexuality but there's really nothing wrong with it, well then the natural consequence is that humans can create their morality without information by religion.