In the US? Not a chance. The political momentum in the US overwhelmingly does not want to fix this to the degree where cars and bikes wouldn't cross paths. Nor have I seen any proposals to do so. Even the most progressive bike infrastructure in the US still often intersects with vehicle traffic at grade.
There's only one place in the US where you can reasonably ride a bicycle for transportation and (usually) not share the road with cars, and it's a tiny island with population ~500 that banned cars in the late 19th century. And even there, emergency vehicles, like the one in the OP, still share the road with bikes.
It's not about blame. It's about recognizing the need for safe infrastructure: physically separated bike paths, not painted gutters. Physics does care about the difference between crossing a painted line vs hitting a bollard.
Dedicated bike lanes almost always share the same risks as the incident in the OP: the intersections are still shared. And sometimes driver behavior is even worse when dedicated bike lanes exist at intersections, because drivers turning right forget they are sharing the intersection with bikes proceeding straight-through from a lane on their right.