Rascal
El Presidente
I am sorry that is not how it works, politicians shift public perceptions by moving the window, They may try and push very right wing policies that result in the public shifting to the right as they become acceptable, it moves in increments as politicians move one way or another and test what is acceptable in the public discourse.I think you may misunderstand how the Overton window shifts. "Politicians respond to the public’s definition of the window, not the other way around."
Public perceptions may influence politicians, but the harder say Patel gets on immigration, the further rightwards the window goes because it becomes acceptable. Politicians can therefore exaggerate the end point as they hope to shift the window by fractions EG immigration will be limited to the 10s of thousands, never achieved but it shifted the window on immigration so controls were made more acceptable to the electorate.