Joseph, you are simply wrong. When Horthy saw that Germany was losing he declared an armistice and attempted to make a deal with the US and Britain in order to stave of the Russians. This is why he was deposed and Hungary occupied by the Germans. In an October 1940 letter to Prime Minister Pál Teleki, Horthy wrote:
“As regards the Jewish problem, I have been an anti-Semite throughout my life. I have never had contact with Jews. I have considered it intolerable that here in Hungary everything, every factory, bank, large fortune, business, theatre, press, commerce, etc. should be in Jewish hands, and that the Jew should be the image reflected of Hungary, especially abroad. Since, however, one of the most important tasks of the government is to raise the standard of living, i.e., we have to acquire wealth, it is impossible, in a year or two, to replace the Jews, who have everything in their hands, and to replace them with incompetent, unworthy, mostly big-mouthed elements, for we should become bankrupt. This requires a generation at least.”
Thus we see that his unwillingness to wipe out the Jews was pragmatic rather than ideological.
As for Netanyahu and Israel being friendly with Orban and Hungary, I have already posted that we are seeing the birth of a new nationalism that respects others’ nationalisms.