RadioButtonBinder

binder.cs

    public static class RadioButtonBinder {
        public static readonly DependencyProperty ValueProperty =
            DependencyProperty.RegisterAttached("Value", typeof (object), typeof (RadioButtonBinder),
                new FrameworkPropertyMetadata(null, FrameworkPropertyMetadataOptions.NotDataBindable, ValueChanged));

        public static readonly DependencyProperty BindProperty =
            DependencyProperty.RegisterAttached("Bind", typeof (object), typeof (RadioButtonBinder),
                new FrameworkPropertyMetadata(null, FrameworkPropertyMetadataOptions.BindsTwoWayByDefault, BindChanged));

        private static bool _react = true;

        private static void ValueChanged(DependencyObject obj, DependencyPropertyChangedEventArgs args) {
            ((RadioButton) obj).Checked += (sender, eventArgs) => {
                if (_react) {
                    var btn = (RadioButton) sender;
                    SetBind(btn, GetValue(btn));
                }
            };
        }

        private static void BindChanged(DependencyObject obj, DependencyPropertyChangedEventArgs args) {
            var btn = (RadioButton) obj;
            if (Equals(GetValue(btn), args.NewValue)) {
                _react = false;
                btn.IsChecked = true;
                _react = true;
            }
        }

        public static void SetValue(RadioButton element, object value) {
            element.SetValue(ValueProperty, value);
        }

        public static object GetValue(RadioButton element) {
            return element.GetValue(ValueProperty);
        }

        public static void SetBind(RadioButton element, object value) {
            element.SetValue(BindProperty, value);
        }

        public static object GetBind(RadioButton element) {
            return element.GetValue(BindProperty);
        }
    }

example.xaml

<StackPanel Margin="0,0,0,13">
    <RadioButton Content="{x:Static infrastructure:ConversionTypes.CompressedRle}"
                    IsChecked="True"
                    Margin="0,0,0,5"
                    c:RadioButtonBinder.Bind="{Binding Project.ConversionType}"
                    c:RadioButtonBinder.Value="{Binding Encoders[0].Description}" />
    <RadioButton Content="{x:Static infrastructure:ConversionTypes.Uncompressed}"
                    c:RadioButtonBinder.Bind="{Binding Project.ConversionType}"
                    c:RadioButtonBinder.Value="{Binding Encoders[1].Description}" />
                                                    
</StackPanel>