Article IV, Section 1:
Full Faith and Credit shall be given in each State to the public Acts, Records, and judicial Proceedings of every other State. And the Congress may by general Laws prescribe the Manner in which such Acts, Records and Proceedings shall be proved, and the Effect thereof.
https://www.law.cornell.edu/constitution-conan/article-4/sec...
It is not even an amendment. It was there from the start.
Tons of laws from the different states affect each other.
so in my example, there is no Federal carry reciprocity law, so states can clobber each other at will
likewise, there is no Federal Drivers License, so you get some states that share license info with each other, some that don't...and they aren't compelled
Congress did not decide that concealed carry had reciprocity.
The entire "legalizing gay marriage" argument was if states had to be forced to accept same-sex marriages from other states where it was legal.