There are some major differences between a node and a view. The node is some pieces of data (title, CCK, etc), while the view is constructed by querying the database.
That said it would be possible to make a reference to views. I don't think the approach would be to try to extend the node reference field. Instead you would need to create your own type of CCK field. Unless you know your way around CCK, this could very well be a lot more work than you would like.
You also need to note, that views are more complex than nodes, as they have more viewing possibilities. A view can have an endless amount of different displays, so you would need to not only save the view name but also the display.
The solution would probably end up being so technical, that only expert users would be able to use it. Though I'm against using PHP filter in node, an easier solution would be to create a field, where you could put in a PHP snippet to embed the view you want.
views_embed_view I believe it's called, this is what you would have needed in your cck field formatter anyways.