If you ignore the patent system and release your product without patents, your competition can arrive after you, patent your idea and then sue you.
And even if you didn't derive your work from theirs, you still have a problem with prior art.
First to file only means that, if you filed for a patent on some thing after someone else who also filed to patent it, you definitely don't get the patent (in a first-to-invent system, whichever of you can show the oldest documentation of invention gets the patent).
The patent system has never protected inventors that do not attempt to patent their invention.