The document gives neither right, nor any other, though it would be great if the END OF STORY attitude you mention was regarded as such in the gun issue.
There is no privacy to murder. You can't murder someone in your living room and cite your right to privacy, nor can a woman murder a fetus in her womb and cite privacy.
I forget when this was, but the challenge to Roe vs. Wade that got the farthest--I think it was in the mid-late 90s--saw SCOTUS admit that Roe vs. Wade was flawed on that issue, but they still upheld Roe vs. Wade, saying that over the years since the decision, prenatal infanticide had in practice become a right. iow, the court said we've had it for so many years, we don't feel we can undo it. I remember listening to the Randall Terry Show on the radio the day that came out, and of course, that was the subject that day.
Hell is hot, and those that don't fear God now, will later. SCOTUS judges should remember that. "Vengeance is mine, sayeth the Lord." There is a Judgment Day for us all, including judges, by the real Judge.
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An old saying: You can be earthly right, and Heavenly wrong....... but we do here on this planet have freewill, least we be robots, but and but, don't place your hand on a hot stove eye, ......................