Again, most of your post is nonsense, but the racist party, AS I ALREADY SAID IN ANOTHER POST IF YOU BOTHERED READING THEM, is Yisrael Beitenu. Let's take a quick walk over to wikipedia, shall we?
(Of course, in that same post, you already expressed agreement with their viewpoints, which I might add are quite extreme even for the Israeli right, so you probably won't be able to grasp why it's scary that this party is part of a ruling coalition)
http://en.wikipedia.org/wiki/Yisrael_Beitenu"It takes a hard line towards the peace process and Israeli Arabs, characterized by its 2009 election slogan "No loyalty, no citizenship"."
They're not demanding a loyalty oath from all Jewish Israelis...
Now interestingly, they almost have a more reasonable solution to the border conflict than do a lot of other right wingers:
"One of the party's best-known policies is that of redrawing the Green Line with the West Bank in such a way that areas with high Arab populations, such as the Triangle area and the Wadi Ara, both gained by Israel as part of the 1949 Armistice Agreements, would be transferred to Arab sovereignty. Known as the Lieberman Plan, such an arrangement would mean that a third of the Arab citizens of Israel would lose Israeli citizenship."
And conversely, Jewish-inhabited areas of the West Bank would become part of Israel. Of course, their motivation is to get rid of all the Arabs and make Israel totally Jewish.
"Yisrael Beiteinu came to international public attention in May 2009, when it announced it would propose laws banning Israeli Arabs from marking the anniversary of the Palestinian Nakba, with a jail term of up to three years for violators. Arabs mark Nakba Day on May 15 every year. The New York Times reports that the proposed ban was widely viewed as a violation of Israel's free speech laws. The draft bill was changed by ministers to bar public money being spent in recognition of Nakba Day."
They want to ban Palestinians from mourning the loss of their country and close to a million of them being exiled from their homeland. They only like free speech when it's the kind of speech they like!
and more detail on the plan to get rid of Arabs:
http://en.wikipedia.org/wiki/Lieberman_PlanPalestinian citizens of Israel have been living in the same place for centuries and they obviously are more attached to the land than to a new state that's appeared within the last several decades. YB's platform basically treats them as enemies within who can't be trusted, hence why they want to force them to take loyalty oaths.