Mistletoe isn't usually the cause for witches brooms.
There are mites in the world that are hardly studied, they seem to be causing pine witch brooms. In Spain these were managed with a miticide that stopped the congestion of buds in later years. Along with non-specific viruses that edit the whole genome of the plant, potentially doubling or tripling some genes so that the plant over-produces certain hormones. Some bacteria and fungi, and even some wasps can do this (think oak galls).
Putting mistletoe on a tree is like playing with fire. At some point, it might get out of control and it's pretty difficult to get it to stop without endangering the whole composition.
If you want to induce mutations on plants, just buy a UV-C laser and start blasting your buds for a couple days. You might trigger something.
Same goes for plant hormones that one can buy online; there's a specific working dose, but upping that a thousand or a million times can have long lasting results. It can kill a tree, or dwarf it forever, or make it do funky things for a couple years.
I don't recommend any of these things, as I've had mixed results.. But there are better ways to skin a cat.