Fundamental questions remain about the biological and physical mechanisms that organize and structure bacterial cells. A new generation of cell biology experiments facilitate the visualization of many biological processes with single cell, single complex and even single molecule resolution. These experiments reveal both strong stochastic and deterministic elements in cellular-scale organization. In this talk, I report on an unexpected self-similarity in the dynamics that we have observed in bacterial (and eukaryotic cells) that arises in transport problems involving large complexes. We demonstrate that in the strong quenched disorder limit, a limiting behavior is observed in these transport problems that is closely related to generalized extreme value theory (GEV). This example (and others) suggest that strong quenched disorder may lead to emergent self-similarity in other biological systems.