No, you absolutely cannot overlook things like cultural differences. If the difference was that you liked different shapoos that would be ok. However your cultural differences are far far deeper. Religion, Morals, and expectancies of a spouse vary greatly between cultures.
For example I have a Greek father and a Welsh mother. My father was Greek Orthodox and my mum was Protestant. My father gave up his religion b/c my mum didn't like it & now he's coping with having alienated his religion.
My father also wanted the standard Greek wife, but, my mother had other plans. These differences led to a divorce 25 years into their marraige!!
So although these differences seem small now they will grow with time. All you see now is the tip of the iceberg. Deep beneath these minor differences are major cultural mores connected to the Jungian collective unconcious. My advice: Do what you can but if things aren't how you want them now, they won't be how you want them later.