Your presentation makes it sound as if rabbinic approval / directives / whatever somehow pushed the response to hamas. Following the English and Hebrew news I see none of that.
You're probably conflating the general fact that the nationalist and religious factions overlap (though there are a great many religious groups in Israel that are not nationalist at all - pretty much all the ultra orthodox), and said nationalists have made extreme statements in the past. But the response to hamas has little to do with that.
(this is my most relevant response to the point you're making, so I'll hold off on the otber incorrect assumptions/statements).
You're probably conflating the general fact that the nationalist and religious factions overlap (though there are a great many religious groups in Israel that are not nationalist at all - pretty much all the ultra orthodox), and said nationalists have made extreme statements in the past. But the response to hamas has little to do with that.
(this is my most relevant response to the point you're making, so I'll hold off on the otber incorrect assumptions/statements).