How do you get the default binding mode of a dependency property?

I want to programmatically find out what the default binding mode of a property will be.

For example, if I check it against TextBox.TextProperty it should be BindingMode.TwoWay, but if it is ItemsControl.ItemsSourceProperty it should be BindingMode.OneWay.

I implemented a custom MarkupExtension and have gotten this far in my code so far:

public override object ProvideValue(IServiceProvider provider)
{
    var service = provider.GetService(typeof(IProvideValueTarget)) as IProvideValueTarget;

    if (service != null)
    {
        var target = service.TargetObject as DependencyObject;
        var property = service.TargetProperty as DependencyProperty;

        // Not sure what to do with the target and propery here...
    }
}