Sama, maybe all hope isn't lost yet.* What if you mist them in the morning if the weather forecast is for too much breeze?* Can you put up some lattice to block some of the breeze?* I just can't stand the thought of you not having fresh tomatoes at your door!!* :?*
I do hope your conversation with them is fruitful - pun intended.
When weeding, the best way to make sure you are removing a weed and not a valuable plant is to pull on it. If it comes out of the ground easily, it is a valuable plant.