In some parts of the US outdoor cats are an essential bulwark against rodent invasion. It is healthy for the cats and very effective organic rodent control. They do get some birds but the bulk of their activity is rodents. There are places you can’t live without them.
Depending on the situation, outdoor cats can also live a long time. We had farm cats when I was growing up that spent a large part of their time outdoors during the day. They were smart, social, and typically lived 15-20 years before old age caught up with them.
Predation mostly impacts cats that are either obviously stupid or aggressively anti-social in my experience.
Domestic cats are only a part of civilisation, not nature.
In our neighborhood, the coyotes are very efficient at taking out any house cat outside after dark.
As much as red tailed hawks are. And crows (which I've watched eat songbirds).