I am a Christian in America, and this is so incorrect I don't know where to start. There are a huge number of different sects in the US. Some of them disapprove of drinking alcohol. Most only disapprove of drinking to excess (getting drunk). Most American churches would disapprove of a woman "dress(ing) like (a) hooker". But... your definitions (in both the US and Germany) about how hookers dress is going to be different too, so that's a hard comparison. I don't know of any church that would completely ban makeup, as if makeup is done correctly it can be hard to tell someone is wearing it - it's supposed to look natural (in the US, other countries have other aesthetics).
I personally grew up in a church that disapproved of drinking and dressing like a hooker, but they were pretty understanding about the drinking (in moderation) on the part of some culturally similar sects. Sort of...well, they looked down their noses at it... its complicated.
But no one in either country would suggest it is the government's job to tell churches what their rules should be. Well, Germany _might_, but they have a history of issues with religious tolerance and still have a state church.
The only rules I can think of that the US government has cracked down on with churches are polygamy, refusing to pay taxes, and snake handling. Yeah, there are some sects in the US that believe handling poisonous snakes is proof of God's blessing. Seriously. Government keeps telling them to cut it out, they keep doing it secretly... its an ongoing thing. More about the kids than the adults, really.