Spring MVC with Facelets views - jsf

Question

I have tried a dumb solution that use two "DispatcherServlets" to use facelets as a view technology for a Spring MVC web application, it was nice for a moment, facelets pages can get models from controllers, the problem is when a facelets page send a form object, here is how this web application is set up:
web.xml:
<servlet>
<servlet-name>Example</servlet-name>
<servlet-class>org.springframework.web.servlet.DispatcherServlet</servlet-class>
<init-param>
<param-name>contextConfigLocation</param-name>
<param-value>classpath:spring/mvc-config.xml</param-value>
</init-param>
<load-on-startup>1</load-on-startup>
</servlet>
<servlet>
<servlet-name>Faces Servlet</servlet-name>
<servlet-class>javax.faces.webapp.FacesServlet</servlet-class>
<load-on-startup>2</load-on-startup>
</servlet>
<servlet-mapping>
<servlet-name>Faces Servlet</servlet-name>
<url-pattern>/faces/*</url-pattern>
</servlet-mapping>
<servlet-mapping>
<servlet-name>Example</servlet-name>
<url-pattern>/</url-pattern>
</servlet-mapping>
With this configuration this controller's method is working fine:
#RequestMapping(value = "/garage", method = RequestMethod.GET)
public ModelAndView get(){
ModelAndView mav = new ModelAndView() ;
mav.setViewName("/faces/garage.xhtml") ;
mav.addObject("listOfCars", carService.getCarList()) ;
mav.addObject("hello", "Hello World From Spring Controller") ;
return mav ;
}
The problem in this application, is when submitting a form, the jsf tag , is always trying to resolve a "faces/*.xhtml" view.
solutions like this simply don't change anything.
<h:form>
<p>
<h:inputText
id="carMarque"
title="Quelle est la marque du nouveau véhicule"
value="#{NewCar.marque}">
</h:inputText>
<h:commandButton id="submit" value="Ajouter" action="/garage/new" />
</p>
</h:form>
It just ends up with a ServletException
javax.servlet.ServletException: /newcar.xhtml #22,50 value="#{NewCar.marque}": Target Unreachable, identifier 'NewCar' resolved to null
I don't know if there is a way to fix that up.