Various shuls and organizations around Los Angeles have regular women's
gathering. For example, there are between 50 and 80 women every Shabbos
for a shiur [class] offered through the Yeshiva of Los Angeles. There are
between 40 and 60 women monthly for a Rosh Chodesh gathering of two shiurim
(one on halacha, one on hashkafa [philosophy]) and then singing -- and
sometimes dancing -- through Aish HaTorah. Many women gather weekly at the
home of one of the Yeshiva rebbetzins for tehillim [Psalms]. And there are
multiple other such gatherings. I dare say that all of the above go far,
and even much farther in promoting "a sense of human community" than
davening together.
As for "davening together with coreligionists (regardless of quantity or
gender)," what happened to regular minyonim? To make it truly independent
of gender, IMHO it seems like the traditional minyonim goes further than
all one-gender minyon.