It definitely facilitates the commission of crimes, but doing that isn't a crime itself unless there is a clear conspiracy. It's just being irresponsible.
For instance, 18 U.S. Code § 1028 (a)(2) appears to criminalize transfer of identification documents as long as you know it was stolen or unlawfully obtained. https://www.law.cornell.edu/uscode/text/18/1028
The laws on credit card fraud require "unlawful or fraudulent intent" though. https://www.law.cornell.edu/uscode/text/15/1644
Even discounting the above, you could imagine why a provider may not want to serve a website that engages in that sort of borderline illegal behavior.