Soon after the Rebbe, my father-in-law, arrived in America in the year 5700, he revealed that his Divine mission in this land was to transform it into a place of Torah and fear of G-d. There were those who then asked him: "This is, after all, America; it is not like the 'old home'?" The Rebbe replied:
"America is no different; with regard to Torah and Mitzvos America is no exception!"
This saying has special significance for Jewish women - to a certain extent even more than for men. Women, in general, have a tendency to follow the latest "styles." Quite often the latest fashion and style may have a deleterious influence on tznius.
Jewish women must know that the very same Torah and Mitzvos, and the very same principle of "The entire glory of the king's daughter is within" that applied in the "old home," apply in America as well.
Excerpt from a letter of the Rebbe, Likkutei Sichos, Vol. VI, p. 364