At first, I did not realize that the Kestrel was hunting the other birds since he disappeared into the shrub, but I realized when he came out he was carrying one of the small sparrows.
The sparrow was still alive, but regardless of whether I tried to shoo the falcon off save the little guy, he was already injured enough that he wasn't going to make it. I figured the Kestrel needs to eat too, but I did feel a little guilty for throwing crumbs out and that the sparrows had their guard down while they ate.
It was such a neat opportunity to see nature happen at my doorstep. It is such a beautiful bird, and I'll like him so long as he doesn't stay here and hunt all the little birds that always eat here.
He obviously saw me taking pictures of him, since he looked directly at me several times before he flew to a nearby tree with his dinner.