"Tam na chetvert' byvshiy nash narod", huh? :)

You can imagine from me quoting Solovyov in my signature that I have no negative emotions towards Jews. I have some Jewish friends (though, with Russian citizenship) and even one relative (mother's uncle, if I'm not mistaken) that married Jewish woman and moved to Israel (he died in several years though). I can't remember any of my friends saying that they had any problems here. Maybe except for finding Kosher food sometimes.

Well... I dare say, most of Russian population doesn't really care about Israel at all. It's just another state, not a big, but quite prosperous one in everyone's view.
There's some bitterness towards "former Russians" though. "They abandoned our country when we were troubled the most", but it is quite minor. The radical antisemites (or "anti-Zionists") like you can sometimes encounter here is a rarity.

Classical claims of this particular group includes classical "The Protocols of the Elders of Zion", the role of ethnic Jews in Revolution and first Soviet government, and, of course, a typical envy towards wealthy Jews.
My own opinion on the matter of different Jewish conspiracies is that even if some group (be it bankers, Bolsheviks or some other group) plotted or performed some crime or otherwise caused someone harm, it's not right to call the plot "Jewish" even if all of them were Jews. It creates the false reverse logical connection, automatically making all Jews somehow a part to this deed.
It's alike to what happens to Islam now: the combination of words "Muslim Terrorists" is said so frequently, that the collective unconscious automatically reverses it into "Terrorist Muslims", painting all of the Islam black, though the fault lies in a meager part of them.

That's my justification, though I think that most of the Russian population shares my view, though unconsciously.

Also, here's a video you should watch if you didn't yet:

[link to www.youtube.com (secure)]