I'm not sure you can do it entirely in xaml, i think you might need a tiny bit of work somewhere else. This is how i did it for something else.
Wrap your collection with a CollectionViewSource in your xaml (this makes one that has a sort on a specific property name):
<CollectionViewSource x:Key="ViewName" Source="{Binding YourBinding}">
<CollectionViewSource.SortDescriptions>
<comp:SortDescription PropertyName="Name" Direction="Ascending" />
</CollectionViewSource.SortDescriptions>
</CollectionViewSource>
somewhere else, bind your listview to have this source as the itemssource:
<ListView x:Name="MyList" ItemsSource="{Binding Source={StaticResource ViewName}}" />
then somewhere in code, i have mine on a textbox property change listener, but you get the general idea. the ICollectionView interface has a filter member that you can use to filter things out.
private void TextBox_TextChanged(object sender, TextChangedEventArgs e)
{
var text = FilterTextBox.Text;
var source = MyList.Items as ICollectionView;
if (string.IsNullOrWhiteSpace(filter))
{
source.Filter = null;
}
else
{
source.Filter = delegate(object item)
{
var s = item as INamedItem;
return s.Name.IndexOf(filter, StringComparison.CurrentCultureIgnoreCase) != -1;
};
}
}