In principle - yes. Except that we can change our frame of reference, and treat the two body problem as a pseudo one body problem (the lab frame becomes the center of mass of one of the bodies). One cannot do this for the three body problem, which gives us at best a pseudo two body problem.
I can confirm this - last year I had to deal with Redwood City PD because my 11 year old daughter was playing after school on the playground (which is, amazingly, not allowed in CA?!). I stood my ground, but the incident involved the police department and meetings with the principal before it was resolved. California is doing a good job of driving the liberal right out of me.
Only if you believe that as a society we have solved all of the interesting problems. Since this obviously is not true, I would instead focus on the way we evaluate science to improve it.
I believe this is close to the truth. Moving one step further upstream, the emphasis on high ROI stems from an overall lack of availability of funding. Since there isn't enough money to go around, it becomes necessary to choose some more selective metric to pare down the pool of grant applicants.