Because of the miracles of modern medicine, we very rarely, if ever, have to make King Solomon-like decisions. That's a wonderful question. Everybody's pocket is picked on that issue. I don't see it as the government intruding when one has a pro-life position. In fact, it's exactly the opposite.
Government intrudes when it asks every taxpayer to pay for it.
Government intrudes when it decides that it is constitutional to take the life of a child who is in the process of being born, as the Supreme Court just did. It's because of the abortion issue. Colin Powell talked about this being the party of Lincoln. During his tenure as president, it was a debate about the personhood of the slaves. Some felt this was property to be bought and sold.