If you add enctype="multipart/form-data"
to your <form>
element, then Firefox will not include "Add a Keyword" in the context menu:
<form method="post" enctype="multipart/form-data">
<input type="text" />
</form>
This is due to a limitation in Firefox; see this code for details. If this limitation is fixed, this workaround might stop working in future versions of Firefox.
The "Add a Keyword for this Search" menu item is a standard feature of Firefox, and might even be useful to some of your users in some cases, so I would also recommend just ignoring it if it's not actively harming your site.