I'm one of these people. I have constant chatter from around six distinct voices in my head if I'm not concentrating on something. It makes getting to sleep extremely difficult (I have to listen to the radio, take melatonin etc). Possibly even more annoying is that I'm unable to meditate - it is impossible for me to empty my mind of thoughts, as soon as I get anywhere near doing so, I find myself listening in to the…
The basic direction is not to get away from it (to supress it using radio), but welcome it, get interested (edit: how would name those six voices?). Of course I can not go any further than tell you, that it is possible to change, imo, if you want to.