Free Mixing With The Opposite Gender
The hadith you referred to indicated that men and women used to pray together in their separate lines in the mosque and leave one after another. This is the same practice still adopted where spaces are narrow. Separate sittings and counters are provided for men and women. This all goes with their intermingling. In the time of the prophet, men and women had the usual interactions as we see in our villages. They keep a decent distance and see each other, talk to each other. The whole literature of Ahadith is provides the evidence.