WPF ListView - interacting with multiple custom items

Question

I have a WPF application that utilizes a ListView with a bound source. Each ListViewItem is a custom View with controls bound to properties of the underlying data. I'm using the Extended SelectionMode and would like a way for all selected items to have the properties modified when one item is interacted with while multiple are selected.

Example Usage: * Select all the items in my list. * Click on "Property 1" for one of the items. * Have all item's Property 1 flag set to true.

Is there a way to accomplish this? I can think of a few hacks but nothing that feels clean.

Example Code:

MainWindow.xaml

    <Window.DataContext>
        <ViewModels:MainWindowViewModel/>
    </Window.DataContext>

    <ListView x:Name="MyList" Height="auto" Width="auto" Grid.Row="1" ItemsSource="{Binding ListSource}">
        <ListView.ItemTemplate>
            <DataTemplate x:Name="ItemTemplate" DataType="ViewModels:FlagCollectionViewModel">
                <Views:FlagCollectionView />
            </DataTemplate>
        </ListView.ItemTemplate>
    </ListView>

FlagCollectionViewModel.xaml:

    <UserControl x:Class="WpfApp2.Views.FlagCollectionView"
                 xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
                 xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
                 xmlns:mc="http://schemas.openxmlformats.org/markup-compatibility/2006" 
                 xmlns:d="http://schemas.microsoft.com/expression/blend/2008" 
                 xmlns:local="clr-namespace:WpfApp2.Views"
                 mc:Ignorable="d" 
                 d:DesignHeight="450" d:DesignWidth="800"
                 BorderBrush="Black"
                 BorderThickness="1">
        <UserControl.Resources>
            <Style TargetType="CheckBox">
                <Setter Property="Width" Value="auto"/>
                <Setter Property="Height" Value="auto"/>
                <Setter Property="Margin" Value="3"/>
            </Style>
        </UserControl.Resources>

        <Grid Width="auto" Height="auto">
            <Grid.ColumnDefinitions>
                <ColumnDefinition Width="auto"/>
                <ColumnDefinition Width="auto"/>
                <ColumnDefinition Width="auto"/>
            </Grid.ColumnDefinitions>
            <Grid.RowDefinitions>
                <RowDefinition Height="auto"/>
                <RowDefinition Height="auto"/>
            </Grid.RowDefinitions>

            <Label Grid.Row="0" Grid.Column="0" Grid.ColumnSpan="3" Content="{Binding Name}"/>
            <CheckBox Grid.Row="1" Grid.Column="0" IsChecked="{Binding Flag1}">Property 1</CheckBox>
            <CheckBox Grid.Row="1" Grid.Column="1" IsChecked="{Binding Flag2}">Property 2</CheckBox>
            <CheckBox Grid.Row="1" Grid.Column="2" IsChecked="{Binding Flag3}">Property 3</CheckBox>
        </Grid>
    </UserControl>

MainWindowViewModel:

    public class MainWindowViewModel
    {
        public MainWindowViewModel()
        {
            _ListSource = new ObservableCollection<FlagCollectionViewModel>();
            _ListSource.Add(new FlagCollectionViewModel("Instance 1"));
            _ListSource.Add(new FlagCollectionViewModel("Instance 2"));
            _ListSource.Add(new FlagCollectionViewModel("Instance 3"));
            _ListSource.Add(new FlagCollectionViewModel("Instance 4"));
        }

        private ObservableCollection<FlagCollectionViewModel> _ListSource = null;
        public ObservableCollection<FlagCollectionViewModel> ListSource => _ListSource;
    }

FlagCollectionViewModel.cs

    public class FlagCollectionViewModel : INotifyPropertyChanged
    {
        public event PropertyChangedEventHandler PropertyChanged;

        public FlagCollectionViewModel(string NameIn)
        {
            _Name = NameIn;
        }

        private string _Name;
        public string Name => _Name;

        private bool _Flag1, _Flag2, _Flag3;
        public bool Flag1
        {
            get => _Flag1;
            set => SetFlag(ref _Flag1, value, nameof(Flag1));
        }

        public bool Flag2
        {
            get => _Flag2;
            set => SetFlag(ref _Flag2, value, nameof(Flag2));
        }

        public bool Flag3
        {
            get => _Flag3;
            set => SetFlag(ref _Flag2, value, nameof(Flag3));
        }

        private void SetFlag(ref bool Target, bool Value, string PropertyName)
        {
            Target = Value;
            PropertyChanged?.Invoke(this, new PropertyChangedEventArgs(PropertyName));
            System.Diagnostics.Debug.Print(Name + ": " + Flag1 + ", " + Flag2 + ", " + Flag3);
        }
    }