Hitler was democratically elected too, and in a "fair" election to boot. So was Savadore Allende elected, as was Robert Mugabe and Benito Mussolini.
So, what's your point? Elections are "infallible", so we must accept whatever awful result they usher in - no matter what harm they do to the United States or even the peoples they betray?
Arafat is a murderous thug, fomenting terror against his neighbors and keeping the Palestinian people in bondage and terror within their own borders. He has murdered American diplomats and is aided and abetted by those who continue to plan mass murder of Americans all over the world.
Arafat needs to be replaced as soon as possible - for America, as well as Israel. The happenstance he was "elected" in a sham election some years ago and has made himself essentially President For Life has little to do with it.
We kill termites because they threaten our houses, not because they are knowingly doing us harm. Indeed, Arafat threatens our house as well as Israel, and is knowingly doing us both harm.
Arafat needs a dirt nap, fast. The fact he was "elected" once is immaterial. It is even immaterial to the radical Muslims, although they are proud to loudly shout it as an excuse to keep him in power, doing their bidding. The man is a danger to all around him.
The simple solution is to show the Palestinian people just how much they have had stolen from them by Arafat. Get a peace process in place and get him replaced. Once that is done we don't have to deal with him and neither does Israel and the world gets off the back of Israel.
I am firmly convinced that the only reason the Arab world it so het up about Palestine is because they detest the people and want them out of their own country.