put Silverlight user control into an asp.net website

help you fix your problem Simple answer, Yes!
Follow the following link to see a demo app developed by some students in the UK. Integrating something similar in your ASP.NET MVC application can be done by using service calls into Controller methods that return JSON, or strongly typed objects.

should help you out Have you verified that your converter is being called at all? I'd just put a breakpoint in and see what happens.

To fix this issue for programmability you might wanna set an id for the control u declare in xaml. you could say x:Name="top10" or something similar.
on the click event of the button you could use the code below

this will help Assigning a type that derives from UserControl to DefaultStyleKey is explicitly disallowed by throwing a ArgumentException (why an ArgumentException and why no explanitory message is included only the SL team know).
A UserControl cannot be templated receiving instead its own associated Xaml. Thats the whole point of UserControl. You need to convert MyUserControl into a templatable control was well if you wish to inherit off it in manner you are attempting.

wish of those help What you describe is one of the problems most people new to MVVM struggle with - Navigation. I'm trying to avoid in general to have any of my Viewmodels bear any knowledge on neither its own view (a viewmodel is supposed to be pretty view agnostic) nor any other view.
One way to solve this is to have a central component in your application that handles all navigation. Let's call it NavigationController. This component handles navigation requests and is responsible for creating the views (and optional the associated viewmodels) and their initialization and it is the only component in the application that really knows about the interdependencies between the various ViewModels and their respective views.