How can I display a node so that it appears as a regular page
If its the path name you want different how about simply using Pathauto

If not - for setting the page title u should do a drupal_set_message() with $node->title and disable it in the node object.

I hope this is of some help.

EDIT
Trying to be of help again


  '' However, I want to show this node object to the user that pushed the button as soon as it has been created (i.e. to avoid having the user click through a link in order to view it) ''


If it is one node at a time, since you are creating the node programmatically, how about redirecting the user to the node right after you create/save the new node?