If you're running a modern version of Firefox this should work...
1. Go to: Tools->Add-ons->Extensions
2. Search for anything with the word "Babylon" in it (there might be several, depending)
3. Click "Remove" for each (or "Disable" if you prefer)
Don't be surprised if removing Babylon doesn't fix the problem, though. The symptoms sound more like some sort of adware/malware/spyware.