You could turn the string into a valid javascript date and then use the date methods to display it how you want to. For example to turn it into a javascript date, split it into its parts and then assemble.
var dateAndtime = x[0].getElementsByTagName("LASTDATETIME")[0].childNodes[0].nodeValue;
var date = dateAndtime.split(' ')[0];
var time = dateAndtime.split(' ')[1];
var year = date.split('-')[0];
var month = date.split('-')[1]-1;
var day = date.split('-')[2];
var hour = time.split(':')[0];
var minute = time.split(':')[1];
var second = time.split(':')[2];
var d = new Date(year, month, day, hour, minute, second);