and then their music reversed and influenced the hip hop community.

Overall I think there is some influence on hip hop when considering the band's songs and solo work.

See this article regarding once in a lifetime and the influence of afro-beat music causing a "human sample" effect on the song for the bass line and drum style. This is 1980, and hip hop was barely breaking into the mainstream:
http://www.npr.org/2000/03/27/1072131/once-in-a-lifetime

It has been sampled 20 or so times for other hip hop/dance songs:
http://www.whosampled.com/Talking-Heads/Once-in-a-Lifetime/sampled/

Also consider the David Byrne/Brian Eno album "My Life in the Bush of Ghosts" from 1981 which is almost entirely composed of drum loops and samples, all done analog which had to be manually synced (before digital sequencing, etc). It's influence on sampling is huge. Whether it influence hip-hop significantly is debatable.
http://en.wikipedia.org/wiki/My_Life_in_the_Bush_of_Ghosts_(album)

Last of all, the song "Genius of Love" by the Tom Tom Club from 1981 is a very popular song and has been sampled numerous times in hip hop. The group is pretty much the talking heads minus David Byrne. See how much it has been sampled or referenced in hip hop songs in the links below (121 times):
http://en.wikipedia.org/wiki/Genius_of_Love
http://www.whosampled.com/Tom-Tom-Club/Genius-of-Love/sampled/

See them perform Genius of Love as part of the talking heads concert "stop making sense" here:

Watch this video on YouTube