This is jQueryUI sortable - which does DOM manipulation when you drag and drop. But if you are using JsViews to create a data-driven UI then your UI needs to be data-driven - and to change the order you need to sort the data, not the UI.
UI cannot simultaneously be data-driven and manipulated by moving DOM elements around. Generally, mixing the two is either impossible or very fragile. This applies no matter what data-binding framework you use (JsViews, Knockout, or some other framework...).
Note that in your example, deleting and inserting items is using a data-driven approach - and is not directly adding or removing DOM elements. This is the correct pattern to use for data-driven UI...