[User23]

IANAL, but my lay opinion is that thanks to the foreign commerce clause this would be a matter of rational basis.

So quite likely Congress could craft such a law and have it hold up, if it could show that foreign control of the NYT (which is incidentally the case) posed a national security concern.

[twoodfin]

IANALE, but any time the exercise of fundamental rights is being constrained, I understand intermediate scrutiny is the floor.

[User23]

Yes but foreigners have way lower presumption of rights.