Like much else, the Christian and Muslim world took much of their morals from us, ostensibly. Of course they hardly keep what they purport to, but that is another point entirely. Yes, this point of the wife’s obligation to obey her husband also, essentially, comes from the Torah. See this thread from a more in-depth view with Torah sources demonstrating such:
It essentially comes from Bereishis 3:16 (????? ???????? ????????????? ?????? ???????? ?????:), Bereishis 18:12 (???????? ?????:) and is cited as Halacha by the Rambam, Hilchos Ishus 15:20 (??? ??? ?? ???? ????? ????? ?? ???? ????? ???? ????? ???? ???? ???? ????? ?? ????? ?? ???. ????? ?????? ??? ?? ?? ??? ????? ????? ??? ?????? ?? ?? ?????. ??? ??? ???? ????? ???? ????? ??????? ???????? ???????. ??????? ??? ???? ????? ??? ??????:) and many other sources.