To add webpart for any web part page (even the one where “Edit Page” is unavailable), simply append the following text to the URL:
&ToolPaneView=2
Thus, if my original URL was:
http://moss/portal/Lists/IT%20Assets/DispForm.aspx?ID=2&Source=http%3a%2f%2ftidemo%2ftftp%2fLists%2fIT%2520Assets%2fAllItems.aspx&PageView=Shared
Then my new URL is:
http://moss/portal/Lists/IT%20Assets/DispForm.aspx?ID=2&Source=http%3a%2f%2ftidemo%2ftftp%2fLists%2fIT%2520Assets%2fAllItems.aspx&PageView=Shared&ToolPaneView=2