Thanks for the suggestion. I do have a dsp1 device, and I tried the /dev/dsp1 in the Setup Options Sound Devices menu, and set it to dsp1. Team Speak would not work with dsp1.
I don't know why. Both the input and output would not unmute.
Even though I couldn't get TeamSpeak to work on dsp1, I did try setting Quake III Arena to dsp1 and left TeamSpeak on dsp and it worked!
Then I had an Idea. Since TeamSpeak won't work on the dsp1 device, I just crosscouppled the symlinks.
/dev/dsp -> /dev/sound/dsp1
/dev/dsp1 -> /dev/sound/dsp
Then when I set TeamSpeak to dsp1 it works.
And my games that cannot be configured to dsp1 think they are useing dsp! It all Works!!
Thanks for pointing me in the right direction!