So, if your answer is no (i.e. you do NOT think a person's rights should begin when their life does), just say it.
Why avoid it?
Just because some (even a majority) might have the same opinion, that doesn't make it "true."
It especially doesn't make it "logical."
Again, their "privileges" begin when society agrees they should. No one wants to give human rights to zygotes. This is why when someone realized that the new abortion laws in some of the Jesusland states could potentially ban in vitro fertilization, everyone rushed to make sure that didn't happen.
But by your dubious logic, every zygote would be a person, and in vitro fertilization should be banned, because it has created a million embryos that will never be implanted inside a woman. (Because they are spares and the woman already got what she wanted.)
Was your right to live and your right to defend yourself, to defend your loved ones, and even your neighbors a right that was "given" to you by the government or society, Joe?
Am I wrong when I declare that my rights (as acknowledged (not given) in the Constitution) are inherent?
Pretty much. Originally, in the Constitution, you only had "rights" if you were born as a white male. If you were black, native American, or a woman, you didn't have 'rights', and you barely had privileges. Don't get fond of your kids, slaves, I might need to sell them to make a quick buck. Hey, Chief Running Gag, we want your land, so we're going to slaughter your tribe despite having a treaty with your nation.
Now, conversely, before 1919, you had the right to get shitfaced on alcohol, before the moral scolds decided that wasn't good anymore, and tricked the country into passing the 18th Amendment. But bit of a problem there, people decided they still wanted to get shitfaced, Al Capone made a bunch of money, and eventually, they had to admit defeat with the 21st Amendment.
Which brings me back to my original point. The reason why abortion laws didn't work back before 1973 was that most people didn't think Globby was more important than the woman he was inside. So women quietly had abortions with a discreet provider, family members, even the really religious ones, didn't turn their relatives in when they did it. In fact, the only time someone was prosecuted for performing abortions was if they were sloppy at it, and injured the woman in the process.
By 1972, even that stopped being much of an issue, as only 36 women were reported to have died from illegal septic abortions. (In that same year, 22 women died of septic abortions in states where it was legal.)