The 613 mitzvot of the Torah, on the other hand, are only binding on the descendants of those who accepted the commandments at Sinai and upon those who take on the yoke of the commandments voluntarily (by conversion).
In addition, the Noahic commandments are applied more leniently to non-Jews than the corresponding commandments are to Jews, because non-Jews do not have the benefit of Oral Torah to guide them in interpreting the laws.
For example, worshipping G-d in the form of a man would constitute idolatry for a Jew; however, according to some sources, the Christian worship of Jesus does not constitute idolatry for non-Jews. The word "goy" means "nation," and refers to the fact that goyim are members of other nations, that is, nations other than the Children of Israel.
There is nothing inherently insulting about the word "goy." In fact, the Torah occasionally refers to the Jewish people using the term "goy." Most notably, in Exodus 19:6, G-d says that the Children of Israel will be "a kingdom of priests and a holy nation," that is, a goy kadosh.
This may reflect the fact that Jews who intermarry are not deeply committed to their religion in the first place: if something is important to you, why would you marry someone who doesn't share it?
Certainly, the statistics show that intermarried Jews are overwhelmingly less likely to be involved in Jewish activities: 85% of Jewish couples have or attend a Pesach seder, while only 41% of intermarried Jews do; 66% of Jewish couples fast on Yom Kippur while only 26% of intermarried Jews do; 59% of Jewish couples belong to a synagogue while only 15% of intermarried Jews do.
These statistics and more are sufficiently alarming to be a matter of great concern to the Jewish community.
Furthermore, the blessings that we received from G-d by accepting the Torah come with a high price: Jews have a greater responsibility than non-Jews.
While non-Jews are only obligated to obey the seven commandments given to Noah, Jews are responsible for fulfilling the 613 mitzvot in the Torah, thus G-d will punish Jews for doing things that would not be a sin for non-Jews.
Any non-Jew who follows these laws has a place in the world to come.