Concerning non-Jews, Rabbi Yitzchak Ginsburgh explains the problem like this:
For a non-Jew, spiritual "rectification" involves the refinement of the seven innate powers of emotion through a commitment to fulfill the seven Noahide commandments. The non-Jew's innate first nature is thereby transformed into a second, rectified nature, which enables him to "see through" the three uppermost levels of his soul and envision the "One." This (often sudden) perception causes the seven emotive powers to serve the three Divine powers, rather than the other way round.If a non-Jew neglects his obligation to observe his seven commandments, he remains unable to apprehend God's true unity, and his consciousness is apt to fall into idolatry, with its deluded worship of the "three"...
Why are Jews then calling them commandments? That's what that website called them: "Below is a list of the 613 mitzvot (commandments)."
Also, the very word means commandments:
"At the heart of halakhah is the unchangeable 613 mitzvot that G-d gave to the Jewish people in the Torah (the first five books of the Bible). The word "mitzvah" means "commandment." In its strictest sense, it refers only to commandments instituted in the Torah; however, the word is commonly used in a more generic sense to include all of the laws, practices and customs of halakhah, and is often used in an even more loose way to refer to any good deed."
very interesting, thanx