Sorry, but no. There have already been cases lost by the cops for exactly the same behavior.
"It matters not a bit if the woman was completely wrong about you and frightened over nothing."
When the cops showed up and saw five guys sitting around a table, they HAD "investigated";, their reasons for FURTHER investigation disappeared. "Asking for ID"; was and is simply harassment.
See the WI stop and ID statute which has already been posted and linked.
968.24 Temporary questioning without arrest. After having identified himself or herself as a law enforcement officer, a law enforcement officer may stop a person in a public place for a reasonable period of time when the officer reasonably suspects that such person is committing, is about to commit or has committed a crime, and may demand the name and address of the person and an explanation of the person’s conduct. Such detention and temporary questioning shall be conducted in the vicinity where the person was stopped.