You could compare Class#getName() or, maybe better, Class#getSimpleName() to a String.
<h:link rendered="#{model['class'].simpleName eq 'ClassA'}">
#{errorMessage1}
</h:link>
<h:link rendered="#{model['class'].simpleName eq 'ClassB'}">
#{errorMessage2}
</h:link>
Note the importance of specifying Object#getClass() with brace notation ['class'] because class is a reserved Java literal which would otherwise throw an EL exception in EL 2.2+.
The type safe alternative is to add some public enum Type { A, B } along with public abstract Type getType() to the common base class of the model.
<h:link rendered="#{model.type eq 'A'}">
#{errorMessage1}
</h:link>
<h:link rendered="#{model.type eq 'B'}">
#{errorMessage2}
</h:link>
Any invalid values would here throw an EL exception during runtime in EL 2.2+.
In case you’re using OmniFaces, since version 3.0 you could use #{of:isInstance()}.
<h:link rendered="#{of:isInstance('com.example.ClassA', model)}">
#{errorMessage1}
</h:link>
<h:link rendered="#{of:isInstance('com.example.ClassB', model)}">
#{errorMessage2}
</h:link>