That was Chew's original motivation, explaining the hadron/meson zoo without quarks and gluons, but it's not likely to happen any time soon. The conformal bootstrap program is about analyzing _conformal_ QFTs, those which look the same at every magnification setting. (The theory of hadrons is not conformal; if you zoom in, the particles get bigger.) In conformal QFTs, it turns out something like Chew's vision does hold. This implies a huge set of constraints, and it turns out you can use these constraints to find solutions to the equations of motion of these theories. This is a bit of a miracle, since it's extremely hard to solve these equations directly. It's also rather valuable, since conformal QFTs describe a lot of natural physical system (like the triple point phase of water). Being able to solve these theories with sufficiently good approximations means that you can compare theoretical and experimental predictions.