Whoa!
Cross-cultural influences were not only as a result of war.
Much of the Solomonic Temple, for example, was a simplified version of part of an Egyiptian complex.
And remember, the Hebrews were never really more than a bit player in the superpower struggles in the late Bronze age.
Oh, theologically, as a Christian, I honour the historical books of the OT, but, taken in context, the two kingdoms were little more than an afterthought in an area where there were many tiny proto-states who constantly shifted their allegiance to one or more of the major powers in the region.