No, Joseph, they’re against the non-religious people running the state. Did you see the story today? R’ Shteinman shlita said even people sitting shiva need to go vote. R’ Ovadia Yosef shlita said it’s a mitzvah to go vote. If they were against the state, why encourage people to participate in the elections? The NK boycotts the elections.
Sadly, you fail to differentiate between the state itself and the people running it. If Israel were run by Torah-observant Jews, even the Rabbonim you mentioned (with the exception of the Satmar Rav zt”l) wouldn’t have a problem with it.