How can I make Views form page with such input fields?
Such view can really help to change meanings of some node field all at once.
Editable Views should do what you are trying to accomplish. It won't allow you to drag the items up/down, but it will allow you to update multiple fields at once.
Editable Views lets you create Views where the fields can be edited. Fields show both the current value and a form to edit it. A 'Save' button allows saving of all the entities shown in the View.