They wont duck those.
Don't be so sure. In 2010 the court denied cert in People v. James, a case challenging California's assault weapons ban.link
They've also denied cert in several carry permit cases:
the Court denied review in Kachalsky v. Cacace, a case in which the Second Circuit Court of Appeals upheld a New York law prohibiting the issuance of a concealed carry permit unless the applicant can demonstrate that good cause exists to issue the permit. The Court also denied review in Woollard v. Gallagher and Williams v. State of Maryland, cases challenging a similar concealed carry permit scheme in Maryland. link
The Court often denies cert repeatedly on some issues before eventually taking up the issue in the right case.