Explain them that:
There are no server controls anymore
There is no event-mechanism anymore
There is no ViewState anymore
Now they won't get away with comfortable WebForms and will have to learn the basics of HTTP, HTML/CSS and JavaScript
Prepare some medicines for those who will faint.
(5). Now it is not about pages, but about resources (REST model). URL will not point to a physical file (.aspx) but to a controller action which may serve back different kinds of responses - a page to render, a short xml as an Ajax response etc.
P.S. If you have something like company-internal framework which facilitates many common operations and it is built with WebForms, you will likely not persuade them to adopt MVC since it means lots of work, dramatic changes in the thought patterns and likely a significant amount of time/costs.
EDIT: For those who asked for positive points...
(6). SEO-friendly Urls out of the box, without the need for third party utilities for Url rewriting.
(7). Complete control over your HTML output. No ViewState payload, no injection of auto-generated IDs => clean markup + smaller pages sizes => less traffic consumption + shorter response times.
(8). A possibility for a clean transparent design of an application (even with multiple layers). Instead of hacking with each control separately in code behind, you are in a better position now to design an architecture with understandable and traceable flow of data - from the database layer over business logic until it reaches the view. Much better compared to ubiquitous WebForms coding style when each control goes directly into the database to get some data to display. Not necessarily that you manage a clean design, but at least the MVC concept makes it cleaner for you now how to do it right.