I don't think so.
Kennedy's decision basically boils down to Congress having to defer to the wishes of the States concerning who may be married. However in Article I Section 9 Clause 1, Congress is explicitly granted the power to ban the immigration of people that only some States think should be admitted. (The provision was intended to apply to slaves, but because the Founders refused to explicitly refer to slavery in the Constitution, they worded it more broadly and obliquely.) Hence in immigration law, Congress does not have to defer to the States. Until a Federal case is decided in which same-sex marriage is required to be recognized by a State that does not do so, or a case directly applicable to immigration is brought, I don't see immigration law aspects being voided.
That said, I expect that it'll only take a couple years at most for the cases needed to address that issue to wind its way thru the courts and resolve the immigration issue in the favor of SSM advocates.
This was not the opinion of a lawyer than NPR interviewed. There's still an enormous amount of uncertainty in a variety of places.
