Certainly. It’s an important case.
Here is the crux of the problem.
Heller does not grant an unlimited right to possess firearms because (amongst other reasons) the Court is quite clear that no right is unlimited.
In its opinion, the Court said:
2. Like most rights, the Second Amendment right is not unlimited. It is not a right to keep and carry any weapon whatsoever in any manner whatsoever and for whatever purpose: For example, concealed weapons prohibitions have been upheld under the Amendment or state analogues. The Court’s opinion should not be taken to cast doubt on longstanding prohibitions on the possession of firearms by felons and the mentally ill, or laws forbidding the carrying of firearms in sensitive places such as schools and government buildings, or laws imposing conditions and qualifications on the commercial sale of arms. Miller’s holding that the sorts of weapons protected are those “in common use at the time” finds support in the historical tradition of prohibiting the carrying of dangerous and unusual weapons.
While there are people who take the opposite view—as
@ThunderHorse has above—that position is neither supported by
Heller nor legally sound.
The bare bones essence of
Heller is that Heller, a DC special policeman (essentially, an armed guard with very limited arrest authority), wanted to register a handgun in the District. He was denied because DC banned the registration of handguns except for those who received a discretionary one-year license from the chief of the Metropolitan Police Department. DC also had a trigger lock requirement that would prevent a gun from being kept ready for use; those lucky enough to get the one-year license would have to render their guns useless for self-defense in the home. Heller filed suit, and the case see-sawed its way to the SCOTUS.
The SCOTUS held that a ban on entire classes of firearms i.e. handguns was unconstitutional, as was the trigger lock requirement. The Court did not have to deal with the licensing issue because Heller conceded this point (as long as licensing was done fairly) during oral arguments.
It did not establish an unfettered right pursuant to the 2nd Amendment.