Not certain, but from you picture looks like the flat metal side mount? Easily bended? Like if scope or "rings" get a smack on their left side, the whole thing easily bends to the right? With the Cooey-Winchesters, there were four screws into the side of the receiver. Loosen them and insert shim above the screws to tilt that side mount base to the left - that should require you to move cross hairs to the right to be sighted in. Or, if you have more guts than I do, remove scope, and bend the mount back to "straight"...
As far as your red circled screw - there were some Weaver mounts, back in the day, that had nearly complete "rings", and you had to completely remove the scope adjusting saddles to insert that scope into those rings, then re-install those saddles. Of course, those were not "sealed" scopes. Used to know, but have forgot the exact part numbers of those bases - N1 ?, N3 ?? something like that...