> I've also yet to see a bus stop that doesn't obstruct the bike lane
They're fairly common in a lot of places, though only recently being built in the US, because they typically go together with having protected bike lanes, which were almost unknown in the US until recently. Here's a fairly typical example from Copenhagen (you can see that the bike lane passes behind the bus stop): https://www.google.com/maps/@55.6757297,12.5451953,3a,15y,46...
It's not usually an issue, though it does require having norms that both pedestrians and bicyclists follow. In Denmark, at least, there are two kinds of bus stops. At ones like this one, which have an island between the bike lane and road, passengers cross the bike lane whenever there's a break in bike traffic, and wait on the island for the bus. Then actual bus loading/unloading is directly to the island and doesn't cross the bike lane. In other cases, where there isn't a waiting island, passengers wait on the sidewalk and do have to cross the bike lane to board/unboard. In those cases, there's a zebra stripe painted on the bike lane in the area where passengers are supposed to cross, and bicyclists must stop before the stripe whenever a bus is present with open doors. So in those cases a bus stopping does interrupt bicycle traffic, though not by the bus actually entering the bike lane. That looks like this: https://www.google.com/maps/@55.6754034,12.5457476,3a,75y,16...
They're fairly common in a lot of places, though only recently being built in the US, because they typically go together with having protected bike lanes, which were almost unknown in the US until recently. Here's a fairly typical example from Copenhagen (you can see that the bike lane passes behind the bus stop): https://www.google.com/maps/@55.6757297,12.5451953,3a,15y,46...