Modify Customizer control labels based on Customizer selections

If you make your control a custom type, you can load JS in the control pane that easily extends the Control

( function( wp ) {
  wp.customize.controlConstructor['myspecialcheckbox'] = wp.customize.Control.extend( {
    ready: function() {
      var control = this;
      control.container.find( 'input[type="checkbox"]' ).on( 'change', function() {
      //toggle other ones
      }
    } );
  } );
} )( wp );

You can also use the controls action to load your JS in the Control pane if it’s not tied to a custom control.
add_action( 'customize_controls_enqueue_scripts', 'my_customize_pane_enqueue' );
with something like

( function( wp ) {
  wp.customize.control( 'my_setting', function( control ) {
    control.on('click', function( ) {
      control.setting.whatever = 'on'; // whatever you are doing to the setting
    } );
  } );
} )( wp );