Sorry, meant turning OFF SMS on Voice Mail.

Does anyone know if there is a way to do this? I talked to Customer Service and they said to go into my voice mail options, but this option was not there.

I called them back and asked again, and they said that they had never heard of this "Feature", and that it may be a carry-over from my previous carrier...Nextel.

Try going to the call log options menus again under the phone icon. The option to choose is none.
then test it to see if it works.