带有下拉菜单的jQuery冲突问题

Question

我有一个客户端，该客户端提供了具有下拉功能的自定义标头，它显然需要链接jquery-2.2.3.min.js才能正常工作，因为没有它，单击时它不会扩展。当我确实加载jquery-2.2.3.min.js时，它破坏了站点中大量的其他功能，而这些功能我无法允许发生。当我用jQuery替换$时，我仍然没有运气。我对解决这样的问题太缺乏经验了。任何帮助将不胜感激。下面是他们提供的脚本。该站点的链接为http://hdefirstresponder.com，由于存在许多问题，该链接目前未链接jquery-2.2.3.min.js。

var brandsHeaderLink = $(".emerson-brands-header > a");
var utilNav = $(".utility-navigation");
var footerNav = $(".emerson-brands > .brands-menu");
var expandedClass = 'expanded';
var firstLoadClass = 'first-load';
var fullCollapseClass = 'full-collapse';
var cookieName = "EmersonBrandsBannerCookie";
var cookies = document.cookie.split(';');
var cookieFound = false;

//Banner is to be displayed for 5 seconds before dropping a cookie
//banner will be hidden if the cookie is present
for (var i = 0; i < cookies.length; i++) {
var cookie = cookies[i];
if (cookie.indexOf(cookieName) >= 0) {
    cookieFound = true;
    break;
}
}
if (!cookieFound) {
brandsHeaderLink.addClass(expandedClass);
utilNav.addClass(firstLoadClass);
utilNav.addClass(expandedClass);

setTimeout(function() {
    utilNav.removeClass(firstLoadClass);
    brandsHeaderLink.removeClass(expandedClass);
    utilNav.removeClass(expandedClass);

    var date = new Date((Math.pow(2, 31) - 1) * 1000);
    var expires = "expires=" + date.toGMTString();
    var domain = "domain=" + location.hostname + ";path=/";
    document.cookie = cookieName + "=" + true + "; " + domain + "; " + expires;
}, 5000);
}

(function () {
$(function () {
    var updatePushpin = function () {
        $("#layout-jump").pushpin('remove');
        if ($(".hide-on-large-only").css("display") === "none") {
            $("#layout-jump").pushpin({
                top: 5
            });
        }
    };
    updatePushpin();
    $(window).bind("orientationchange resize", updatePushpin);

    brandsHeaderLink.on("click", function (e) {
        e.preventDefault();
        brandsHeaderLink.toggleClass(expandedClass);
        utilNav.toggleClass(expandedClass);

        utilNav.removeClass(firstLoadClass);

        footerNav.toggleClass("hidden");    //hidden is a css class with display: none
    });

    var previousPosistion;
    $(document).on("scroll", function () {
        var currentPosistion = $(window).pageYOffset || $(document).scrollTop();
        if (currentPosistion > previousPosistion) {
            utilNav.addClass(fullCollapseClass);
        }
        else if (currentPosistion < previousPosistion) {
            utilNav.removeClass(fullCollapseClass);
        }
        previousPosistion = currentPosistion;
    });
});
})();