I have a ListView element with a DataTemplate for each ListViewItem defined as follows. When run, the ListView's height is not collapsed onto the items in the view, which is undesirable behavior:

<DataTemplate x:Key="LicenseItemTemplate">
    <Grid>
        <Grid.RowDefinitions>
            <RowDefinition Height="Auto"  />
            <RowDefinition Height="Auto" />
        </Grid.RowDefinitions>
        <TextBlock Grid.Row="0" Text="{Binding company}"></TextBlock>
        <Grid Grid.Row="1" Style="{StaticResource HiddenWhenNotSelectedStyle}">
            <Grid.RowDefinitions>
                <RowDefinition />
            </Grid.RowDefinitions>
            <Button Grid.Row="0">ClickIt</Button>
        </Grid>
    </Grid>
</DataTemplate>

The second row of the outer grid has a style applied which looks like this. The purpose of the style is to :

<Style TargetType="{x:Type Grid}" x:Key="HiddenWhenNotSelectedStyle" >
    <Style.Triggers>
        <DataTrigger
            Binding="{Binding Path=IsSelected, 
                        RelativeSource={
                        RelativeSource 
                        Mode=FindAncestor, 
                        AncestorType={x:Type ListViewItem}
                        }
                        }" 
            Value="False">
            <Setter Property="Grid.Visibility" Value="Collapsed" />
        </DataTrigger>
        <DataTrigger
            Binding="{Binding Path=IsSelected, 
                        RelativeSource={
                        RelativeSource 
                        Mode=FindAncestor, 
                        AncestorType={x:Type ListViewItem}
                        }
                        }" 
            Value="True">
            <Setter
                Property="Grid.Visibility"
                Value="Visible"
            />
        </DataTrigger>
    </Style.Triggers>
</Style>

The ListView renders like this:

The desired appearance is this, when none of the elements are selected:

...with, of course, the ListView's height adjusting to accommodate the additional content when the second grid is made visible by selection. What can I do to get the desired behavior?