This is where the notion of computational complexity comes in
Persist: Resurrect your best creature
Aetherwing, Golden-Scale Flagship Bespoke Battlewagon Boosted Sloop Cargo Ship Cyclonus, Cybertronian Fighter Deluxe Dragster Futurist Sentinel Goldbug, Scrappy Scout Guidelight Pathmaker Haunted Hellride Hulldrifter Imposter Mech Invasion Submersible Jackdaw Jetfire, Air Guardian Kylox's Voltstrider Magicked Card Meldweb Strider Midnight Mangler Mindlink Mech Mobilizer Mech Optimus Prime, Autobot Leader Possession Engine Prodigy's Prototype Rangers' Aetherhive Rangers' Refueler S.H.I.E.L.D
Shoot, you can even Reality Shift your own stuff, especially if you know what's on top of your library (via Soothsaying or some such)
After sideboarding, you can change what the game is about, abandoning your low-impact creatures that would get caught in sweepers and instead presenting a midrange deck similar to theirs, but with counters and Eldrazi, and surprise them with a plan of going over the top of them without overcommitting to the battlefield
They will not notice