My impression is that this is a scam, although I didn't see any Google staff come in to that thread to deny that they're doing it. If someone is scamming and impersonating Google, it seems that they would have a strong interest in preventing it or warning people about it.
So, I don't know. I've never been asked for a credit card by Google, nor have they asked me to send in my ID. On the other hand, I do have my Google account on my phone, so I wonder if that has anything to do with it.