Tiger musky(TM) are generally removed by angling. They show hybrid vigor and are often quite aggressive. Angling for them is fairly easy, especially in a lightly fished private pond where they do not receive heavy pressure. So it is possibly to utilize them as a predator to remove fish and once they get to a size where they start to cause issues, you can remove them via angling. Nate Herman a member on here seems to be using this method effectively, I think more with pike though, maybe if he sees this post he'll chime in.
Walleye(WE) will eat BG, GSF and BC. However, WE have fairly small mouths and are limited in the size of those species they can eat. I would not expect them to make much of a dent in any of those populations. If anything, they will be competition for food resources.