I thought it was the storage of such data that is illegal not the connection? Obviously logs and analytics are an issue in some cases for this law, but I slightly agree with it; should we not all want our digital footprint to be as small as possible?
No, courts have made it clear that sending EU IP addresses to the US is illegal unless you can prove that the US government can't intercept it or someday force you to log them. No one the US is immune to subpeona, so no one can comply with that requirement.
Maybe I’m getting confused with GDPR, anyway I think interpretation of these laws that the stop the internet from working completely is usually incorrect in my experience.