I think we can agree that the idea of the mishebeirach is universally palatable, and the problem is with the language. That is why I have the idea in mind in my shemona esrai, as I mentioned earlier.
Quite possibly even the mishebeirach for the Medina would be OK (at the very least for those living in EY) if not for certain language it contains, e.g. “Reishit Tz’michat Geulateinu”, which is clearly not a belief shared by most right wing Orthodox.