The phrase "different drummer" means to do things in your own unique way, regardless of what others think or do. It means following your own path and not blindly imitating others.
Everything else: TVs, GPS units, laptops — other companies and other industries march to the beats of all kinds of different drummers. (scientificamerican.com)
Again, though, China may turn out to march to a very different drummer. (firstthings.com)
I guess we all hear and follow different drummers. (drperlmutter.com)