Actually, Samaritan IS programmed to care. However, he is programmed to care more about "The needs of the many" rather than "The needs of the few".
Something that numerous people have said is a problem in our society today, the majority always want to limit what the minority does when they have some personal problem…

That is the point…. the machines are evolving and at this point, they ARE coming to the point where they are equivalent to a human intelligence, though a benevolent Jesus-type intelligence and a malevolent Stalin-type intelligence.
Finch just does not want to admit the fact that "Yes, my invention is becoming more and…

Not really. Samaritan did a stupendous job making it appear that those killings were random acts.
So, unless some very distrustful human got ahold of more information that is thus far only available to Finch and the team…… I doubt it will spiral out of his control.

Not really…. Finch is still unjustly clinging to his opinion that "Any AI is ebil!" (ebil meaning worse than evil).
No, AI's have free will and the right of choice. The Machine has chosen to be benevolent and has proven that on numerous occasions.
So why does Finch still refuse to trust it? Only thing I can think of is…

No, it wasn't. There is never such a thing as "The end justify the means" when you are talking about someone who is not a current, immediate danger directly to someone else at that very moment.