Even its proponents will often be compelled to admit: This is a strange type of law.
There’s precedent for granting bounties to private citizens, and it’s very probably lawful to use the civil courts instead of criminal for enforcement in this or a similar fashion. Even if it’s not, centering a counter-argument on this point is an error anyway. Those who invented the bill in the first place are attempting to choose the ground for the next fight over what is effectively a “heartbeat law” on abortion.
Permit me, gentle readers, to recommend a book: “Starship Troopers”. If you’re looking for a gift for that stubborn conservative in your life, it should do fine.
But, recognizing that you probably won’t have time today, and you may not actually have a copy on your shelf at present, I’ll paraphrase a bit and apply that to the vaccine debate. After, you can go buy the book at the link provided above. (Independent booksellers will benefit, not Bezos.)