This flunks the smell test. Both countries have sovereign governments which, such as they are, have the authority to close any such so-called "abortion businesses." And since abortion is forbidden by islamic law, I suspect this is a fight the new governments would not want to have to fight with their more fundamentalist rivals. I'd need to see confirmaton that this goes on before I'd believe it.
Actually that is a common mistake Westerners make. Islam and Sharia permit Abortion in certain cases when a woman is impregnated by "an infidel" for example. And terminating pregnancies are common practice via honor killings of young women.
I understand your skepticism, but knowing what I know about the history of that region and U.S. foreign policy I am certain that nothing would stand in the way of the U.S. when it comes to implementing this kind of crap over there.
If Tony Blair had to walk around 10 Downing Street with U.S. Secret Service protection, I think it would be safe to say that Great Britain was no longer much of a sovereign nation at all.