"Your own link makes note that selective incorporation doesn't apply to the bill of rights."
No, it doesn't. In fact, it clearly states the opposite noting that the 3rd, 7th, 9th and 10th amendments in the Bill of Rights have not been incorporated.
On that page you can even find a table noting when each amendment in the Bill of Rights was incorporated. It quite clearly tells you that the 2nd amendment was incorporated in 2010 in McDonald v. City of Chicago.
The LII is literally just an accessible form of the various federal codes, statutes, regulations, and certain administrative rulings. It can be verified against paper copies or against paid services like Westlaw and Nexis.
The LII has been around for more than a decade. The LII is used by progressives, conservatives, libertarians, socialists, the current (Trump) administration and the former (Obama) administration, all with no complaints. It has been used by lawyers and judges on every side of the aisle. If there was any bias, it would have come out by now.
No, it doesn't. In fact, it clearly states the opposite noting that the 3rd, 7th, 9th and 10th amendments in the Bill of Rights have not been incorporated.
On that page you can even find a table noting when each amendment in the Bill of Rights was incorporated. It quite clearly tells you that the 2nd amendment was incorporated in 2010 in McDonald v. City of Chicago.
Nothing you said in this comment is correct.