Concerning the chillul hashem resulting from the Tropper scandal - it is important to note how seriously Chazal view chillul hashem. In Yevamos (79a) it is noted that Dovid executed Shaul's sons and left the corpses hanging for a long time to avoid the chillul hashem caused by Shaul's indirectly causing gerim diffulty. In Sanhedrin (107a) it describes that Dovid was apparently willing to become an idolater to avoid the chillul hashem that would result if his son killed him.
While both gemoras clearly require much more study, the message of our Sages is clear. Chillul hashem is worse than violating the Torah and it is worse than idolatry. The fact that there are those whose "solution" to this international chillul hashem is "don't talk about it and it will go away" is simply incredible.
Yevamos(79a):And Ritzpah took sackcloth and spread it on a rock for herself - from the beginning of the harvest until the rainy season began and she did not allow the birds to rest on the corpses by day or the wild animals at night (Shmuel 2’ 21:10). But how could it be that the corpses of Shaul’s sons remained hanging on the gallows day after day? This is specifically prohibited by the Torah (Devarim 21:23). R’ Yochanon said in the name of R’ Shimon ben Yehotzadak, “It is better that one letter of the Torah be uprooted in order that the name of heaven be publicly sanctified. Those passers-by who saw the corpses hanging would ask what type of people were they? They would be told that they were princes. They then asked what did they do that they were executed? They would then be told that their punishment was related to harm done to gerim. When they heard that they said, “There is no other nation that is more worthwhile to join than the Jewish one because if they punish princes for the mistreatment of gerim then surely they will punish commoners and if they do justice for gerim then surely they will do it for Jews from birth.
Sanhedrin(107a): Dovid wanted to worship idols [so that people would think he was wicked]… However Chushi the Archite came to meet him with his coat ripped and dirt on his head. He said to Dovid, “Shall people say that a king like you has worshipped idols?” Dovid answered, “But should a king like myself by killed by his own son [causing people to question G‑d’s justice]? It is better that I worship idols [and I alone sin and lose my reputation] than the name of Heaven be profaned [because many will become idolators if I don’t].” Chushi asked, “So why did you marry a marry a yofas to’ar [non-Jewish woman captured in battle]? Dovid replied that the Torah permits it. Chushi said, “Don’t you make Torah interpretations based on the proximity of verses? The permission to marry a Yosef’s to’ar is in proximity with the discussion of a rebellious son and we learn from this that the offspring of a yofas to’ar will be a rebellious son.”
Vayikra Rabbah(22:6): ...We find that G-d showed indulgence towards idolatry but that He never condoned chillul Hashem...