I never used the term "rational basis" that is your term. I said reasonable restrictions and that is supported by: McDonald v. Chicago, 561 U.S. 3025, 130 S.Ct. 3020 (2010
From the majority opinion in McDonald:
Municipal respondents therefore urge us to allow state and local governments to enact any gun control law that they deem to be reasonable, including a complete ban on the possession of handguns in the home for self-defense.
Neither Heller nor McDonald attempted to decide what level of scrutiny will be applied to laws which affect Second Amendment rights. But the request by Chicago to allow whatever Chicago thought reasonable was DENIED.
This doesn't mean that there won't be some restrictions; what I would call infringements. But it won't be the case that every "reasonable restriction" will be allowed.