Isn't this more the arena of a procedural than federal law? This definitely seems more feel good than reality. I believe the court precedent is called "legislative entrenchment"[1] which seems to prevent Congress from passing these laws that "bind" future Congresses.

So, to answer the Representative's question, it would appear that courts would hold this bill unconstitutional.

[1] http://www.yalelawjournal.org/the-yale-law-journal/essay/leg...