Where I'm from the hunters have been doing it longer than hunting laws have existed. My grandpa shot his first deer when he 12 from a drive, or as you say push, my dad got his that way, and I got mine that way. If done right, you can drive them without getting them running or too scared.
I also bow hunt, from a stand. So I understand where you're coming from, because I enjoy sitting quietly and enjoying nature. But it's just one of many legal hunting methods that us hunters enjoy.
-Jake