I used JQuery.UI. This is not necessarily an answer to this question(Especially since it is an old post), but thought I would share what I have, in case it helps anyone else, as I came to this Post searching for how to create a drop and drag UI. 
Please note that this is for MVC. 
Please note that there is no actual Functionality added to this yet, it is a starting point, which creates a UI that allows drop and drag items:
Layout:
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>jQuery UI Droppable - Default functionality</title>
<link rel="stylesheet" href="//code.jquery.com/ui/1.12.1/themes/base/jquery-ui.css">
<link rel="stylesheet" href="/resources/demos/style.css">
<style>
    ul.listRoles {
        width: 300px;
        height: auto;
        padding: 5px;
        margin: 5px;
        list-style-type: none;
        border-radius: 5px;
        min-height: 70px;
    }
        ul.listRoles li {
            padding: 5px;
            margin: 10px;
            background-color: #ffff99;
            cursor: pointer;
            border: 1px solid Black;
            border-radius: 5px;
        }
</style>
<script src="https://code.jquery.com/jquery-1.12.4.js"></script>
<script src="https://code.jquery.com/ui/1.12.1/jquery-ui.js"></script>
<script>
    $(function () {
        $("#listDenyRoles, #listAllowRoles, #listAllowMoreRoles").sortable({
            connectWith: ".listRoles"
        }).disableSelection();
    });
    function submitNewRoles() {
        //Generate List of new allow roles
        var outputList = $("#listAllowRoles li").map(function () { return $(this).html(); }).get().join(',');
        $("#GrantRoles").val(outputList);
        $("#formAssignRoles").submit();
    }
</script>
</head>
<body>
<div class="container body-content">
        @RenderBody()
        <hr />
        <footer>
            <p>© @DateTime.Now.Year - My ASP.NET Application</p>
        </footer>
    </div>
    }
</body>
</html>
Index Page(I replaced the Home Index with this code):
@{
    ViewBag.Title = "Home Page";
}
<p>
    To GRANT a user a role, click and drag a role from the left Red box to the right Green box.<br />
    To DENY a user a role, click and drag a role from the right Green box to the left Red box.
</p>
@using (Html.BeginForm("AssignRoles", "UserAdmin", FormMethod.Post, new { id = "formAssignRoles" }))
{
    String[] AllRoles = ViewBag.AllRoles;
    String[] AllowRoles = ViewBag.AllowRoles;
    if (AllRoles == null) { AllRoles = new String[] { "Test1","Test2","Test3","Test4", "Test5", "Test6", "Test7", "Test8", "Test9", "Test10", "Test11", "Test12", "Test13" }; }
    if (AllowRoles == null) { AllowRoles = new String[] { }; }
    @Html.ValidationSummary(true)
    <div class="jumbotron">
        <fieldset>
            <legend>Drag and Drop Roles as required;</legend>
            @Html.Hidden("Username", "Username")
            @Html.Hidden("GrantRoles", "")
            <table>
                <tr>
                    <th style="text-align: center">
                        Deny Roles
                    </th>
                    <th style="text-align: center">
                        Allow Roles
                    </th>
                </tr>
                <tr>
                    <td style="vertical-align: top">
                        <ul id="listDenyRoles" class="listRoles" style="background-color: #cc0000;">
                            @foreach (String role in AllRoles)
                            {
                                if (!AllowRoles.Contains(role))
                                {
                                    <li>@role</li>
                                }
                            }
                        </ul>
                    </td>
                    <td style="vertical-align: top">
                        <ul id="listAllowRoles" class="listRoles" style="background-color: #00cc00;">
                            @foreach (String hasRole in AllowRoles)
                            {
                                <li>@hasRole</li>
                            }
                        </ul>
                    </td>
                    <td style="vertical-align: top">
                        <ul id="listAllowMoreRoles" class="listRoles" style="background-color: #000000;">
                            @foreach (String hasRole in AllowRoles)
                            {
                                <li>@hasRole</li>
                            }
                        </ul>
                    </td>
                </tr>
            </table>
            <p><input type="button" onClick="submitNewRoles()" value="Assign Roles" /></p>
        </fieldset>
    </div>
}
Hopefully this can help someone else in the right direction.