In my experience they don't.
That said, the Detroit area does have both a large population of people of middle-eastern descent and a large black population, so just because of sheer numbers, the size of both groups, in your area, you'd be seeing more such women dating black men than would be seen elsewhere.
The Chaldeans, being Christians, would of course be more likely than the Muslim women to date American blacks, since most black people are also Christian. The number of black American Muslims is relatively small.
But if those women belonged to a smaller group and also lived in an area with fewer black people, it's not likely you'd see anything to suggest that they had any special interest in black men. It's just a matter of numbers that is causing you to notice this.
Certain cultural differences are probably of some importance. Middle-eastern men, it's true, can be VERY authoritative and patriarchal, though black men, for various cultural reasons of their own, also have a high rate of domestic abuse.