What difference does the chomer make? It’s a demonstration that Jewish people abrogate the ratzon Hashem.
Which answers your other question about chu”l vs. EY – the main issue is that the state claims to be the representative nation and people of the Jewish people. That makes it a massive, heretofore unmatched chilul Hashem of worldwide proportions, committed every second of every day, when the states officials are seen as representative of all of us, while most of them are not frum and many are anti frum.
However, it is worse that it happens in EY, as aveiros and mitzvos are weightier there, as it is Hashem’s land. It also adds the additional violation of the oaths and an element of false redemption.
I’d feel very similar if secular jews made a country elsewhere.