JSFiddle - React, Tailwind, and code Playground

HTML

<div class="half">
    <ol id="one">
        <li id="alaska">
            Alaska
            <ul>
                <li data-id="alaska"><input type="checkbox"> Children 1</li>
                <li data-id="alaska"><input type="checkbox"> Children 2</li>
                <li data-id="alaska"><input type="checkbox"> Children 3</li>
            </ul>
        </li>
        <li id="washington">
            Washington
            <ul>
                <li data-id="washington"><input type="checkbox"> Children 1</li>
                <li data-id="washington"><input type="checkbox"> Children 2</li>
                <li data-id="washington"><input type="checkbox"> Children 3</li>
            </ul>
        </li>
        <li id="texas">
            Texas
            <ul>
                <li data-id="texas"><input type="checkbox"> Children 1</li>
                <li data-id="texas"><input type="checkbox"> Children 2</li>
                <li data-id="texas"><input type="checkbox"> Children 3</li>
            </ul>
        </li>
    </ol>
    <button type="button" class="include">Include</button>
</div>
<div class="half">
    <ol id="two"></ol>
    <button type="button" class="exclude">Exclude</button>
</div>

CSS

.half {
    display:block;
    float:left;
    width:50%;
}

JavaScript

$(function(){
    $('.include').click(function(e){
        var $checks = $("input:checked");
        $.each($checks, function(k,v){
            var tempid = $(this).parent().data('id');
            if( !$('#two').find('[data-id="'+tempid+'"]').length ){
                var element = $(this).parent().detach();
                $('#two').append(element);
            }
        });
    });
    
    $('.exclude').click(function(e){
        var $checks = $("input:checked");
        $.each($checks, function(k,v){
            var tempid = $(this).parent().data('id');
            var element = $(this).parent().detach();
            $('#one').find('#'+tempid+' ul').append(element);
        });        
    });
});