HM: you're mixing up too many different things here.
1. Religious Zionism/Anti-Zionism. Well, being something of a religious Zionist myself, obviously, I believe in the possibility that Jews establishing a Jewish State in our hereditary homeland is a step-- maybe even an important step-- on the long road to bringing the moshiach. But I certainly can understand how others might feel differently, and I respect their right not to think messianically about this. But in either case, I don't think it pays for anyone to not differentiate between criticizing the choices of the Israeli government and military versus criticizing the State of Israel as an extant entity. In the former case, I would be the first to say that anyone has the right to critique political and military decisions by a government-- whether I agree or not, has no bearing, it's just a matter of differing political opinions. But those who single out Israel to somehow argue that the entire state is somehow wrong for existing, and that the Jewish People has no right to have their own state in their own homeland...well, that's not something I would consider a mere difference of political opinion. And that is, at least in my opinion, an area where anti-Zionism can overlap with anti-Semitism, or with being a self-hating Jew. Which, I hasten to add, I am not at this time accusing anyone here of being.
But as for the Neturei Karta, first of all, they are a tiny fringe minority. Even if you also include the other anti-Zionist Jewish groups, like the Satmarers, and some of the other much smaller Haredi ultra-radicals, together they still only constitute a tiny percentage of the world's Jewry. They do not represent mainstream Jewish thought any more than al-Quaeda represents mainstream Islamic thought. In fact, the vast majority of practicing Jews support Israel, and see nothing at all mutually incompatible in Zionism and the Jewish tradition, even if they are not religious Zionists. The Nuturei Karta, by the way, are also sick: they are so committed to the notion that Israel must adhere to what they believe is God's plan, that those who don't do so become enemies in their eyes. They pray for the deaths of other Jews, just because the Neturei Karta disagree with them, and they (the NK) support terrorists and anti-Semites all over the world because of their shared hatred for the State of Israel: that is, IMO, deeply sick and wrong. And certainly proves nothing about what is or is not compatible with Jewish tradition, or what is or is not Jewish in the Zionist enterprise. Even the Satmarer Hasidim, who are also anti-Zionist, reject the Neturei Karta as traitors to their own people.
2. The rightness of criticizing Israeli choices in dealing with the Palestinians. Until and unless such criticisms begin to cross the line from political condemnation of a democratic government to knee-jerk vituperation of Jews, I see nothing inherently wrong in people criticizing the choices and decisions of Israel's government or military. I do so myself, frequently. The problem usually is that people don't know when to stop, and they often refuse to consider the implications of the situation. Many are simply ignorant of the history of Israel, or have no clear idea what the situation there has been like at its worst. Some have been indoctrinated by Palestinian propaganda. Some simply don't like the idea that people who are poor and suffering can also be responsible for terrorism and the inculcation of a culture of hatred. But responsible social and political criticism is not something that should be subject to intolerance.
3. Are Israel's actions in attempting to handle the Palestinian situation Jewishly appropriate? Yes and no. The tradition permits us a wide lattitude in our conduct during defensive wars. Frequently, Israel's actions are, as far as I can tell, much more cautious and much less vigorous than what the halakhah permits us in the course of defending Jewish cities in our own land. That said, I think Israel's government and military have made numerous mistakes and poor choices over the years, some catastrophically bad, and some compounded in ways that, if I were to judge by halakhic standards, the instigators would be in transgression of the laws of war. Sometimes those offenders have been punished, but I believe Israel should be quicker to punish the transgressors, their punishments more severe, and much more publicity about it all. Also, I think some of the choices made in terms of balancing defense with civilian collateral damage could be made a little better. And yet, I am also forced to admit that collateral damage would be far more reduced if Palestinian terrorists did not hide themselves amongst women and children.
4. The continued immigration of Jews to Israel. Israel is the Jewish State. Whether the majority of its citizens are secular or not is immaterial. And, by the way, let's remember that the term "secular," employed as a translation for the Hebrew "chiloni," represents not only what we in America or Europe might call "secular Jews" (that is, Jews who do not practice Judaism, may not know much about the Jewish tradition, and may not even believe in God), but also those Jews we would simply call "non-Orthodox Jews," who have varying levels of practice, knowledge, and theology, but who have no affiliations, simply because Israel generally lacks the non-Orthodox movements common to the Euro-American communities. In fact, barely a quarter of chiloni Jews (according to polls by the newspaper "Haaretz") have zero Jewish observance and don't believe in God; fewer than fifteen percent would consider themselves either non-Zionists or anti-Zionists. Given, then, that Israel is the Jewish State, and most Jews wish it to continue to be so, why would Jewish immigration be a problem for us?