The only real difference between PvP and PvE ships is the presence of a warp-disrupting module. In fact, cap-stable active tanking setups are exceptionally strong in one-on-one situations, with the other main difference between setups—the use of a capacitor injector—stemming primarily from having to deal with unfavorable odds.
Most mission-runners die after getting baited because their setups are just inherently trash, and because they don’t know how to react and handle themselves in a fight.
But you know what? I’ll give you a concession: I think it would be perfectly okay to separate out PvP-required modules into their own fitting category so that everybody could use them equally, regardless of what kind of content they’re doing.
Can’t AFK-cloak in null-sec anymore.