You can run an MVC application without installing MVC in your server. There is something called deployable dependency in Visual studio. That will publish your MVC DLLs in your bin folder when you publish it.
This will add assemblies (DLL files) to a Web site project or Web application project. When you deploy your Web site or application, the files are included in the deployed project. This is useful if applications or technologies that your project depends on are not already installed on the server that will host your Web project. For example, you can use this feature to deploy an ASP.NET MVC 3 Web application to a server that does not have ASP.NET MVC 3 installed.
right click on Project and Select Add Deployable Dependency from the context menu
Select what all DLLs you want to be published
After clicking OK, You will see a new folder called _bin_deployableAssemblies. You can do normal Publishing procedure now and you will have the dlls in the bin folder of the publish output.
NOTE: You should have Visual Studio 2010 SP1. Otherwise it will not be shown in the context menu when you right click on the project to be published.