Being a Zionist and supporting settlers are not mutual. Being a Zionist is simply supporting a Jewish state not everything the government does.
(and orthodox jews don't recognize the israeli government as truly legitimate anyway)
Edit:
Zionism is simply support for a Jewish state in Israel, not necessarily for settlers. The vast majority of the center-left political groups in Israel consider themselves Zionists, while being rabidly anti-settler. For example, the left-wing protests against judicial reform in Israel used the Israeli flag as their symbol — because they're Zionists, and believe the judicial reform undermined Israel. (The right wing and religious counterprotests also used the Israeli flag as their symbol, since they're also Zionists, and believe the current judicial system is detrimental to Israel.)
Even some right-wing Israeli political parties have been anti-settler while pro-Zionism, e.g. Ariel Sharon's Kadima party that forcibly evicted all settlers from Gaza at gunpoint, destroyed the settlements there, and ended Israeli occupation of Gaza (the "unilateral disengagement") in 2005.
Possible, there is lots of disinformation going on. My wording also might have been bad, but by my definition and understanding orthodox jews aim for a 100% jewish state. And Israel is not 100% jewish, but tries a mixture as they also have arab and beduin population with voting rights. So orthodox jews surely mostly support Israel as being mostly jewish, but they rather would support a 100% jewish Israel state.
Most of my family is Orthodox, I was raised Orthodox, and have a pretty clear understanding of Orthodoxy's views on Israel (which is generally pro-Israel). You are confusing various ultra-Orthodox (also called "Haredi") sects, some of whom are anti-Zionist, but not for the reasons you're giving — in fact, the largest anti-Zionist Haredi sect (although "largest" here is still only ~100k globally), the Satmar, are specifically against Israel being Jewish because they view pre-Messianic Jewish states as contrary to Jewish law. The Neturei Karta, an even smaller but more extreme Haredi sect (~5k adherents globally), go so far as to politically support dismantling Israel and replacing it with an Islamic state.
These are pretty niche groups within Orthodoxy, though, which is ~2MM globally; nearly all sects of which support the State of Israel.
The extremists are usually just the loudest and the most extreme phrases get the most media coverage with usually bad context, ... which can be summed up as missinformation, I fell for.
> (and orthodox jews don't recognize the israeli government as truly legitimate anyway)
Edit: a sibling comment questions the accuracy of the assertion that the majority of orthodox Jews support the Israeli state. I have no idea, so setting that point aside:
Definite/indefinite articles matter. "A Jewish state" is not necessarily "The Jewish State"/"modern State of Israel". I suspect support for "a Jewish state" and modern Israel is rather correlated, but not 1.0.