For theists, would you enjoy living in such a society?
It doesn't sound like a secular society to me, much less a warped idealistic version, so no, I would not like to live in this form of a pseudo-secular society. It sounds like a a bigoted, anti-religious person's wet dream under a guise of being 'truly secular'.
I have no qualms about living under a secular society, in fact, I approve of it. I do not think religion should have a say in government policies and it should be favoured, let alone enforced, either on believers, or on people of other faiths or none. Nor do I think religion should be opposed and hidden away, as if there is something shameful about it. Neither of these, in my eyes, are tolerant or secular.
If I had to choose between this anti-religious form of government, and a religiously pluralistic form of society (for example, where displays of religion and their holidays and so on were allowed in public areas for many religions, but no laws were enacted with religious inclinations), I'd rather live under the latter -- even if I wasn't religious, and I wasn't always religious.
I would, however, prefer an actual secular country where government is indifferent to religion, and not for or against it. One where nativity scenes are allowed on private, but not public property, for example.