Contain form within a bootstrap popover?

I would put my form into the markup and not into some data tag.
This is how it could work:

JS Code:

$('#popover').popover({ 
    html : true,
    title: function() {
      return $("#popover-head").html();
    },
    content: function() {
      return $("#popover-content").html();
    }
});

HTML Markup:

<a href="#" id="popover">the popover link</a>
<div id="popover-head" class="hide">
  some title
</div>
<div id="popover-content" class="hide">
  <!-- MyForm -->
</div>

Demo

Alternative Approaches:

X-Editable

You might want to take a look at X-Editable.
A library that allows you to create editable elements on your page based on popovers.

X-Editable demo

Webcomponents

Mike Costello has released Bootstrap Web Components.
This nifty library has a Popovers Component that lets you embed the form as markup:

<button id="popover-target" data-original-title="MyTitle" title="">Popover</button>

<bs-popover title="Popover with Title" for="popover-target">
  <!-- MyForm -->
</bs-popover>