You are not trying hard enough. I was at Trinity College Library, Dublin a few months back. There are few spaces that are more peaceful and inspiring to work in than that one.

You have to understand that cafés like churches or pubs or the town square have traditionally been designed as the "The Third Space" in people's lives behind home and work. It were community building happen. It's designed for that, not for work. Howard Schultz founder of Starbucks tried to bring this to the US where he felt people were loosing touch with those community spaces but still had/felt a need for them. It has been very successful for his company to tap into that need. But on the flip side lot of misguided notions have developed in peoples(cafe owners/patrons) heads about what that third space is for or why they need it.