Hover above the planet and look down. Below is Kansas. Imagine a huge oval which is a low pressure zone. Around it is a high pressure zone. The two zones equalize. That equalization process is a giant set of swirls, rather like stirring cream into coffee. The wall of the swirls is what we see as a tornado. If you disrupt the wall, you will not disrupt the event which causes the swirl, which is the huge pressure difference between the zones. If you manage to disrupt one wall, another will form. This formation continues until the pressures equalize.
On the other hand, you might just go down to Brazil and kill the damned butterflies whose wing flapping causes all these storms.
Here is a good daily global view. (Launch worldview)
http://earthdata.nasa.gov/data/near-real-time-data/visualization/worldview