RE: spitting and other problems with the mouth call
First, if the mouth calls you were using worked for you maybe you should stick with them. If you just want to try something different use a regular double reed diaphragm. And, practice, practice practice. Sometimes they are easier to use. Second, you should never, ever, have spit flying out of your mouth when using one. You are blowing too hard!! Try to find someone in your area to help you. I had to learn the hard way, but finally got the hang of it.
As for the fighting purr it is a loooooong series of hard drawn out purrs that simulates two turkeys fighting. I have tried it, but haven't had any luck with it yet. The ones you heard on TV were just a purr and cluck; this is a contented sound.