No, it’s not a stretch. If a person cannot be deprived of life except by due process of law, Congress has the right to step in and prevent the taking of that life. The only way the 14th wouldn’t apply is if someone made the ludicrous argument that a baby is not a person.
When you say "baby" do you mean a fetus or a baby that has actually been born? You may not see a distinction but the law does and always has.
“The only way the 14th wouldn’t apply is if someone made the ludicrous argument that a baby is not a person.”
The question of whether a fetus is a person, or at what point it becomes one, is the only true (or at least, honest) question in this debate; and it isn’t entirely ludicrous.
In the absence of external morality, there is no real reason why a fetus should be considered a person. It lacks every characteristic we associate with individuality and personhood, except possibly consciousness at a late stage. No self-awareness, no higher cognitive function, no ability to communicate, no capacity for self-motivated action. It takes external morality to view an embryo as any more a “person” than any other unicellular organism.