Humour me for a minute here and let's imagine that all interesting and plausible supersymmetry models have been "cornered" out by the experimental data;
what sort of alternatives are there for having quantum field theories with Poincare symmetry that are allowed to have nontrivial internal symmetries? i.e: that the Coleman-Mandula theorem does not apply?
What other assumptions of the theorem can be relaxed or dropped, and still leave us with workable QFT?
Are we forced to drop full Lorentz-Poincare symmetry or will the theorem still apply with slight violations of that symmetry?