But even the way Netanyahu and Lieberman are typically described is entirely misleading. Netanyahu, not least in the Australian media, is almost always called "hardline right-wing". This would be the equivalent of calling the government of John Howard or Malcolm Fraser hardline right-wing, or calling the recently defeated government of Helen Clark in New Zealand hardline left-wing.
Netanyahu leads the Likud Party, which has been Israel's main centre-right party for decades. Under Menachem Begin in the 1970s, a Likud government gave up the whole of the Sinai desert in a land-for-peace deal with Egypt. Netanyahu, who has held many portoflios in previous governments, has as part of his coalition the left-of-centre Israeli Labour Party.
It would be much more honest to label Netanyahu's Government centre-right. This question of language is of the first order of importance. The ancient Chinese sage Confucius, when asked what would be the main political reform he would carry out if he achieved state power, replied: "It would certainly be to rectify the names." Israel's enemies, heirs to ancient anti-Semitism, are on a relentless quest to delegitimise and demonise it at every point. Mislabelling a democratic government of mainstream, democratic politicians as hardline right-wing is an important part of that quest.
What about Lieberman's speech? Lieberman is the leader of the Yisrael Beiteinu party. Lieberman too has previously been a cabinet minister. His party is mainly supported by Russian immigrants. It is fair to say he is to the right of Netanyahu but not fair to say he is an extremist. His policies mix a hard line on national security with social liberalism.
Russian Israelis often have a somewhat attenuated connection to Orthodox Judaism and can therefore be disadvantaged in rulings concerning conversion, marriage and other family matters, where religious parties have considerable influence. There is nothing sinister about this. It is the sort of debate Ireland had in recent years about allowing divorce. Lieberman wants to secularise these matters.
On security issues his sharp language marks him out as a polarising figure. But there is no doubt he is a democrat and, by broader Middle East standards, an extremely mild politician. He is most famous for wanting all Israelis to take a loyalty oath. This is seen as insulting to Israel's Arab citizens. I think it is an unhelpful and unnecessarily polarising proposal, but it is not the black hand of fascism.
Similarly, Lieberman wants all Israelis to be forced to undertake military or other national service. This is also seen as hitting at Israeli Arabs, as they may not want to serve in the Israeli Defence Forces. But Lieberman also wants this provision enforced on Orthodox Jews, who do not do military service either.
Further, in Lieberman's vision of a two-state solution he is keen to transfer Israeli Arab towns into a Palestinian state. Some territorial swap is inevitable if a two-state solution is to work, but presumably no Israeli citizen would be forced to give up their citizenship, whatever happened to the land underneath them. So Lieberman's proposal cannot remotely be classed as ethnic cleansing or anything like it.
I think Lieberman's rhetoric is often unhelpful to Israel and exacerbates problems, but it is certainly not unreasonable for Lieberman to want to debate the civic identity of Israel's Arab citizens.
In his initial speech as Foreign Minister on March 30, Lieberman said the Annapolis peace process, which has been running for the past couple of years, is dead. But Lieberman fully committed himself to the road map negotiated and endorsed in 2002 by the US, the European Union, the UN and Russia, which also involves commitment to a two-state solution.
There is only one difference between the road map and Annapolis. Annapolis was based on the idea that the Israelis and Palestinians negotiate a final status agreement now on who would have what territory, and then one day the Palestinians will be able to form a government that can rule its own territories and provide proper security.
The road map, on the other hand, provided for reciprocity: that both the Palestinians and the Israelis had to undertake certain obligations along the way. Israel had to dismantle illegal Jewish settlements (that is, illegal under Israeli law) and prevent any territorial expansion in the existing settlements. (Lieberman is at times even critical of the previous government for not doing this.) The Palestinians had to form a functioning government and suppress terrorism.
When the Israelis withdrew unilaterally from Gaza, this was a kind of road test for Annapolis. But all they got, after a temporary ceasefire, was a constant barrage of rocket attacks. The Netanyahu Government is now inclined to stress reciprocity.
Indeed, in responding to Lieberman's remarks US spokesmen did all stress reciprocity.
Netanyahu, when in office previously, made a number of agreements that involved Israeli withdrawal from Palestinian land and all of which had as their object a two-state solution. Like Lieberman, Netanyahu is committed to the road map, which has as its goal an independent Palestinian state. But this is dependent on the Palestinians forming an effective and sensible government and meaningfully renouncing terrorism.
This is completely out of the question at the moment because half the potential Palestinian state, Gaza, is ruled by the terrorist death cult Hamas. Despite the protestations of Hamas sympathisers in Australia, the Hamas leadership, the charter which it still upholds and all Hamas spokesmen say Hamas will never recognise Israel's right to exist or to occupy a single inch of territory. This is not the occupied territories we're talking about but Israel proper. Hamas has also said it will never give up terrorism. Hamas may one day change its mind on all this, but at the moment it is inconceivable that the Palestinians could meet their obligations under the road map. That rules out a Palestinian state for the moment.
It remains an ambition of the vast majority of Israelis that they can live in peace beside a peaceful neighbour, both behind agreed borders. In saying this is not available at the moment, neither Netanyahu nor Lieberman rules it out forever in the future. The international press might at least get this basic fact right.