This run is another dumpster fire, it's mainly being submitted as reference for other runners who want to perform the same route.
Loads of little time savers throughout the run, but the really big ones are: -Using the saucer for part of Suburb of the Damned, it seems to be reliably fast on XB1 whereas on 360 I couldn't make heads or tails. Saves about 30secs. -Killing Roboprez by dunking him into the water (pointed out by Ecdycis) using the Washington Monument (suggested by Starbonnie). Appears to save 30+secs on a good attempt. -Clipping Silhouette through the fence and making her drown herself. This makes the Silhouette fight - when done right and her ragdoll cooperates at the end - end in well under a minute.
The three/four massive time losses were slow South by Southwest notoriety generation, me forgetting to destroy the last of the mutant room on my way out in The Mutant Menace, and Silhoutte ragdoll-launching five times before dying, all costing ~30secs each. The fourth is ~15secs lost on The Furon Filibuster because the wave system bugged out, but I think it's because I destroyed the Majestic too quickly.
Sub-1:12 is practically free. Sub-1:11 is very doable. Sub-1:10 is a maybe.
(the run was done on 07/02/2021, the upload finished past midnight, time double-checked by frame in VideoPad, Xbox disc played on Xbox One S)