This is the best I've seen so far that is able to use the client's desktop timezone and changes real-time with the timezone setting: 
<script type="text/javascript">
    //Use: timeZoneConvert("2015-11-03T17:36:20.970");
    //Mon Nov 02 2015 17:36:20 GMT-0600 (Central Standard Time)  [Date object]
    //To format string use: timeZoneConvertFormatted("2015-11-03T17:36:20.970")
    //November 2, 2015 5:36 PM
    //Works even when I change client timezone to Pacific Standard
    //Mon Nov 02 2015 15:36:20 GMT-0800 (Pacific Standard Time)
var months = ["", "January", "February", "March", "April", "May", "June", "July", "August", "September", "October", "November", "December"];
function timeZoneConvert(dateStr) {
    var d = parse_iso8601(dateStr);
    //Change (- 360) constant for your server, mine is Central Standard
    var dTimezoneOffset = new Date(d.getTime() - ((new Date()).getTimezoneOffset() - 360)*60000);
    return dTimezoneOffset;
}   
function timeZoneConvertFormatted(dateStr) {
    return fDateTime(timeZoneConvert(dateStr));
}   
function fDateTime(date1) {
    var date = date1.getDate();
    var year = date1.getFullYear();
    var month = months[date1.getMonth() + 1];
    var h = date1.getHours();
    var m = date1.getMinutes();
    var ampm = "AM";
    if(m < 10) {
        m = "0" + m;
    }
    if(h > 12) {
        h = h - 12;
        var ampm = "PM";
    }
    return month + " " + date + ", " + year + " " + h + ":" + m + " " + ampm;
}
    var iso8601extended = /^\d{4}(-\d{2}(-\d{2}([T ]\d{2}(:\d{2}(:\d{2})?)?([,.]\d+)?(Z|[+-]\d{2}(:\d{2})?)?)?)?)?$/;
    var iso8601basic = new RegExp(iso8601extended.source.replace(/[:-]\\d/g, '\\d'));
    var firstNumber = /[^\d]*(\d+)/g;
    function parse_iso8601(s) {
        s = s.replace(/,/g, '.');
        var matches = iso8601extended.exec(s);
        if (matches) {
            s = s.substr(0, 10).replace(/-/g, '') + s.substr(10).replace(/:/g, '');
        }
        matches = iso8601basic.exec(s);
        if (!matches) {
            return null;
        }
        var d = new Date();
        d.setUTCFullYear(toNumber(matches[0].substring(0, 4)));
        d.setUTCMonth(matches[1] ? toNumber(matches[1].substr(0, 2)) - 1 : 0);
        d.setUTCDate(matches[2] ? toNumber(matches[2].substr(0, 2)) : 1);
        var hours = 0, minutes = 0, seconds = 0, milliseconds = 0;
        var fraction = matches[6] ? parseFloat(matches[6]) : 0;
        if (matches[3]) {
            hours = toNumber(matches[3].substr(1, 2));
            if (matches[4]) {
                minutes = toNumber(matches[4].substr(0, 2));
                if (matches[5]) {
                    seconds = toNumber(matches[5].substr(0, 2));
                    milliseconds = 1000 * fraction;
                } else {
                    seconds = 60 * fraction;
                }
            } else {
                minutes = 60 * fraction;
            }
        }
        if (!matches[7]) {
            d.setHours(hours);
            d.setMinutes(minutes);
        } else {
            d.setUTCHours(hours);
            d.setUTCMinutes(minutes);
        }
        d.setUTCSeconds(seconds);
        d.setUTCMilliseconds(milliseconds);
        if (matches[7] && matches[7] != 'Z') {
            offset = toNumber(matches[7].substr(1, 2)) * 60;
            if (matches[8]) {
                 offset += toNumber(matches[8].substr(0, 2));
            }
            d.setTime(d.getTime() + 60000 * offset * (matches[7].substr(0, 1) == '-' ? 1 : -1));
        }
        return d;
    }
    function toNumber(s) {
        return parseInt(s.replace(/^0+(\d)/, '$1'));
    }
</script>