If I have understood your question correctly, you can access the Name property by casting the sender to a FrameworkElement.
Alternatively you can just use the reference object that is created by the designer, the instance name is the same as the name that you specify in the x:Name attribute.
The following demonstrates both options.
private void ModelUIElement3D_MouseDown(object sender, MouseButtonEventArgs e)
{
var element = sender as FrameworkElement;
if (element != null)
{
if (element.Name == "trololo")
{
}
}
// Or
if (sender == trololo)
{
}
}