AAQ:
It is absolutely forbidden for Jews to have political rule there before Mashiach comes. Period. RYCZ would therefore obviously not have dreamed of doing any such thing, as that would not be “according to halacha”. In fact, RYCZ wanted to remain independent of the wicked Zionists, and had Dr. Yaacov DeHaan negotiating that with the gentiles until the wicked Zionists murdered Dr. DeHaan in cold blood.
The way to deal with the current “State” is first to understand that it is a rebellion against, and great enemy of, G-d and His Torah. The next thing to know is that, as the Chazon Ish stated, one morning we will wake up to discover that the “State” simply doesn’t exist anymore. With that basic understanding, you then move on to the Brisker Rav who stated that dealing with the Zionists is like dealing with any other opponent, including diplomacy.
As to your question about current ruler vs prior ruler, it is absolutely disgraceful to compare these heretics of a fake “Jewish” “State” to liHavdil, malchus beis Dovid. Besides for that point, the crucial difference is that in the case of the Zionist “State”, regardless of the leader – current or prior – that “State” is still Zionist, meaning that it is a mass and gross rebellion against G-d and His Torah and a danger to His people R”L, both spiritually and physically. Zionism at its core, ideologically, is the diametric opposite of Torah. None of that was true of malchus beis Dovid, even though there were some kings who did not lead the people properly, worshiped idols, etc.