I just don't quite get the argument that this game is woke or anti-religous. If anything it seems to go after the left more than the right. A modern day woke game wouldn't tolerate such a manwhore MC. Currently in the mainstream entertainment you have James Bond, the ultimate ladies man, getting rejected. But in BaDIK, almost no woman can resist the MC and his magical catnip-for-women dick. Doesn't seem very progressive to me.
Also, the game is loaded with homophobic jokes and there are a lot of characters (DIKs and Jocks) who seem like closet homosexuals. I've honestly lost count of how many times DPC has played it for laughs. I'm not sure if he is doing it to ease the minds of players who are overly concerned about the three letters, but it is quite noticeable.
And then you have feminism getting ripped on at every opportunity. Maya is the one of the only "good" non-hypocritical feminists in the game. Most of students (HOTs especially) seem to acknowledge taking the class only for the easy credits. Some even outright laugh at the feminist teachings. BaDIK just seems like a light-hearted, horny, politically incorrect game. Until the fires start.
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Having one, stereotypical religious dad character doesn't seem like an overindulgence.