Popa, agreed that the matter needs birur, and one can’t assume a priori that the Rambam Avi K quoted automatically applies.
If I agreed with Avi K that it does apply automatically, I would have been there and serving in the IDF myself when I was younger (something I came very close to doing at the time). Though I didn’t ultimately decide to go, fortunately I found ways to work for the benefit and defense of am Yisrael and the state that I hope have been productive.
Nonetheless, there is ample evidence in Neviim that there were good, not quite so good, and simply evil kings among Malchus Yehuda before churban bayis rishon. Until after Yoshiahu’s reign, though, HKBH did not withdraw his “hashgocho” on the war fighting and winning prerogatives of these kings. Some kings, such as the evil Achav of malchus Yisrael, were granted military victories despite the legitimacy or the halachic fidelity of the king.
The following is admittedly speculative, and I am not attempting to tell anyone it is clear halocho. It is, however, reasonable.
If I had to presume, I’d theorize that the current memshala falls somewhere in the middle on the scale of righteousness compared to these kings. Certainly not comparable to the righteousness of Asa, Yehoshafat, or Chizkiyahu, but not comparable either to Menashe or Amon, or Achav, for that matter. And if HKBH didn’t withdraw his national “hashgocho” on these despite their sins, I don’t think an inference of some degree of national hashgocho on the current memshala is unwarranted.
The question of what is a Jewish state is a much harder one to analyze. I would say only this. Since RIshonim, Acharonim, and current halachic decisors have applied the interpretation of the concept of dina demalchusa dina to various forms of government – from kings and emperors to the oligarchies of Venice and Genoa, or the Lord Protector of revolutionary England, or the Committees of Public Safety in Revolutionary France, or the democracies of modern Western societies, There is an implicit recognition in halocho that “malchus” may mean “rule” or “government” more than it means literally “kingship”. How it is them applied as per hilchos milchomo is a harder nut to crack.