Show me a public statement (i.e. one that can be confirmed) by any Torah outsider praising the Chareidi refusal to serve in the IDF, and I will rethink whether or not it is a Chillul Hashem.
What’s a “Torah outsider”? The “Torah insiders” (i.e. Gedolim) have clearly said it is a Kiddush Hashem to remain in Yeshiva full-time and not serve in the army. What do you want from us? We are following our Gedolim! Do you really expect us to stop listening to the Gedolim because you disagree with them?!?