Netanyahu would not care. And a lot of their neighbors are on much friendlier terms with them than before even. Jordan helped with stopping the Iranian counterattack, and I believe a few other nearby countries opened their airspaces to the US and company as well.
In terms of actual hate, it's really just Iran and Iranian linked militias. If the Iranian people successfully overthrew their theocracy, most of the threats would end to Israel. There's been considerable unrest and protest in Iran lately.
The way I see it, it's a win win opportunity. Help the Iranians retake control of their country, help Netanyahu's opposition take control and make it conditional on them behaving. It should make the region significantly calmer and allow us to stop sending defense to Israel and instead rebuild Gaza.