Because the duck isn't invasive.
> Why are Portlanders tearing down ivy but not killing house sparrows?
Because the ivy is invasive.
> Portland is the Rose City, famous for the rose gardens. Those are non-native flowers, no one is running around tearing them up. Environmentalism generally stops when things start
Because the roses aren't invasive.
> house sparrows
The house sparrows are invasive (at least in the northeast, not sure about the PNW). A lot of don't realize this, because they're ubiquitous. Same with starlings.
Here's where we get into the topic of humans being humans, generally acting in response to straightforward preferences.
Mass slaughter of cute (and familiar to the point where people don't realize they're not native) little birds to protect other little birds is a tougher pill to swallow than just ripping up some plants and planting different plants. This is too icky for a lot of people to consider.
Moreover, the effects are too subtle for most people to notice, who are generally not "in tune" with nature at all. How many people can even identify different sparrow species in the first place?
I don't think this amounts to some kind of double standard like you seem to be implying. People just find it harder to kill things that have blood and brains, than to kill things that have roots and leaves, especially if said blood-and-brain things are cute and/or familiar.
> Humans and their dogs and livestock are invasive and destructive
Humans: And? This is like saying that environmentalists are hypocrites because they drive cars.
Cats: Cats that are allowed to roam free outdoors are a big problem. I think people who actually are interested in this topic know that, and as far as I know this notion has been gaining popularity in recent years. People want to let little Fluffy roam free, and don't want to think of him as a bloodthirsty predator, whose aggregate behavior amounts to ecological-scale genocide. This thought crosses both the icky line and the selfish-human line.
Dogs: Arguably, only dogs with inept owners are invasive/destructive. Although once in a while even a good dog will dig up a native cottontail burrow, chase after a woodchuck, or scare off some deer. As with cats, it crosses both the icky line and the selfish-human line.