It's a fair argument that the problem is unlikely to be solved because the solution wants to go in opposite directions (both weakly and strongly interacting). However, let me point out that there are many technologies that face strong tradeoffs and yet have been successful. Consider hard drive memory, for example. You want it to be easily switchable so that you can access bits quickly with little power. But you also want it to be hard to switch, so that it remembers your data for a long time. The engineering challenge is achieving both seemingly opposite goals at once. The success of memory technologies (among others) makes me optimistic that this is a solvable problem.