Also, he’s barred from being a minister as per Israeli’s supreme court ruling (exactly because he’s been convicted with fraud multiple times), so I highly doubt he could be appointed to the war cabinet even in theory.
One could argue that the ultra orthodox parties are active behind the scenes, but there’s no indication of that anywhere. Israel has free press, so this type of thing would probably come out as rumors at the very least (By contrast, there were reports he was the de-facto minister of social services after the supreme court ruling).
Not to diminish the political power they hold, but in this specific case there isn’t any indication they exert said power.