The only thing geese are good for as far as protection goes is alerting owners to a problem, because they are so noisy when excited. They can't protect anything, including themselves, from attacks by larger predators like dogs, coyotes, bobcats, raccoons, owls, and many others. It doesn't matter...
I think the main conclusion here is that you can't have everything. You can have good layers that are quick and mostly self-sufficient, like Leghorns, but they are not much use for meat, and they won't hatch their own chicks. Pretty much all of the lightweight breeds that are relatively self...