I disagree.
I think even if you don't take the OTD's into consideration this protest is not the way to go up about strengthening your own kedushas shabbos.
I apologize for lumping everyone into one category. Yes, there are some people on both sides of the coin where they hold the protest is good even if it turns off more kids, and some people who say it's bad even for ones own kids.
And yet others are saying that protesting public chillul shabbos, especially when it's being done to flaunt and disrespect us, is the right thing, regardless of the effect it will have on OTD kids doing it.
I challenge you to find a posek like the chafetz chaim who was active in "protesting" chillul shabbos in whatever way possible, including railing against those who desecrate it, who ever held is tongue because of the effect it might have on some OTD kids who were already off.
I believe this answers all of your questions.
This is not about halacha. It is hashkafa. So you can't expect someone else to just agree with your hashkafa, please realize people see things differently than you and move on. Did the chofetz chaim say you have to protest every chillul shabbos? If not there is no chiyuv to protest this, and you don't have to feel a need to force others to join.
If you want to argue then argue about why it does or doesn't effect otd kids, and whether you should care about otd kids or not. But to say the protest is a must is pointless to argue about. And it seems like all arguments were already presented here for both sides.
I didn't ask any questions, so ending you response in you think it answered my questions makes you sound silly. Also not agreeing with or acknowledging an explanation of the pikuach nefesh questions makes you seem argumentative and not interested in finding answers but rather interested in antagonizing and arguing for the sake of arguing.
I agree but the other half of jj1000 post was great
Thanks