Jewish Actions Non Jewish repsonces and reflections on the L-D

Rabbanic literature, particularly the concept of Kiddush Hashem (sanctification of God's name) and its inverse, Chillul Hashem (desecration of God's name), directly addresses the profound impact of a Jewish person's actions on the perception of the Divine by both Jews and non-Jews. The understanding is that because the Jewish people were chosen to be a "light unto the nations" (Isaiah 42:6), their behavior reflects directly upon God's honor and the validity of His Torah in the eyes of the world
Kiddush Hashem (Sanctification of God's Name)
Actions that inspire non-Jews to respect God, the Jewish people, and their faith are considered Kiddush Hashem.
Integrity under Duress: The example provided of a Jew who remains steadfast in their faith despite persecution and does not compromise their principles is a classic demonstration of Kiddush Hashem. This conduct leads non-Jews to acknowledge the strength and truth of the belief, saying, "Despite everything, he believes in his God!"
Source: The commandment derives from the biblical verse, "You shall not profane My holy name, that I may be sanctified in the midst of the people of Israel" (Leviticus 22:32). Rabbinic literature interprets this broadly, applying it to all areas of life, not just ritual.
Chillul Hashem (Desecration of G-d's Name)
The user's negative examples (using the Torah cynically for cruel rule, slandering others, promoting injustice) fall under the category of Chillul Hashem.
Definition: Chillul Hashem is any action by a Jew that causes others to lose respect for G-d, the Torah, or the Jewish people. It happens when Jewish people act dishonorably, unethically, or unjustly, especially in a manner that makes others question the power or goodness of G-d and His teachings. The actions you describe could lead non-Jews to say, "if His G-d is so powerful, how can He be, when those of His people do injustice?"

The overarching principle in Rabbinic thought is that Jews have a special status and a greater responsibility to G-d and humanity. They are tasked with representing G-d's moral law to the world, and their actions are seen as a reflection of His will and power.