The 14th amendment is pretty specific and has been ruled on to state: “The U.S. Constitution and Supreme Court recognize and protect the right to interstate travel. The travel right entails privacy and free domestic movement without governmental abridgment.”Under previous SCOTUS justices I'd have agreed with you, but my confidence is zero with this court.
I am not arguing or debating this issue with or against you, but am just trying to assure you that if Missouri would attempt to pass such a law, I would hope the SC would deny Missouri’s right to do so.