You could try editing the template for the textboxes and changing the border name Bd to a "real" border instead of the chrome one. Like this:
<ControlTemplate x:Key="TextBoxBaseControlTemplate1"
TargetType="{x:Type TextBoxBase}">
<Border x:Name="Bd" SnapsToDevicePixels="True"
Background="{TemplateBinding Background}"
BorderBrush="{TemplateBinding BorderBrush}"
BorderThickness="{TemplateBinding BorderThickness}" >
<ScrollViewer x:Name="PART_ContentHost"
SnapsToDevicePixels="{TemplateBinding SnapsToDevicePixels}"/>
</Border>
<ControlTemplate.Triggers>
<Trigger Property="IsEnabled" Value="False">
<Setter Property="Background" TargetName="Bd"
Value="{DynamicResource {x:Static SystemColors.ControlBrushKey}}"/>
<Setter Property="Foreground"
Value="{DynamicResource {x:Static SystemColors.GrayTextBrushKey}}"/>
</Trigger>
</ControlTemplate.Triggers>
</ControlTemplate>
add this setter to your style to enable the template:
<Setter Property="Template"
Value="{DynamicResource TextBoxBaseControlTemplate1}"/>