Due to cross domain restrictions you can't access the html directly using AJAX.
You can however use Yahoo YQL
to select the part(s) of a page you want and have that html returned within jsonp
data.
Example returning list of questions on main page of stackoverflow
var url='http://query.yahooapis.com/v1/public/yql?q=select * from html where url=\'http://stackoverflow.com/\' and xpath=\'//div[@id="question-mini-list"]//h3//a\'&format=json&callback=?';
$.getJSON( url, function(data){
$.each(data.query.results.a, function(){
$('body').append('')
})
})
DEMO: http://jsfiddle.net/NTUx5/
YQL docs: http://developer.yahoo.com/yql/guide/index.html