For the sakes of the web appbuilder, this is the layerlistview.js that I think that I should be editing. Sorry for the lack of code formatting as I'm just using notepad to edit it. Where should I insert your code block?
// All material copyright ESRI, All Rights Reserved, unless otherwise specified.
// See http://gis.esquimalt.ca/arcgis/jsapi/jsapi/esri/copyright.txt and http://www.arcgis.com/apps/webappbuilder/copyright.txt for details.
//>>built
require({cache:{"url:widgets/LayerList/LayerListView.html":'\r\n\r\n\x3ctable class\x3d"layer-list-table"\x3e\r\n \x3ctbody class\x3d"layers-list-body" data-dojo-attach-point\x3d"layerListTable"\x3e\x3c/tbody\x3e\r\n \x3ctbody class\x3d"layers-list-body" data-dojo-attach-point\x3d"tableListTable"\x3e\x3c/tbody\x3e \r\n\x3c/table\x3e\r\n'}});
define("dijit/_WidgetBase dojo/_base/declare dojo/_base/lang dojo/_base/array dojo/dom-construct dojo/on dojo/query jimu/dijit/CheckBox ./PopupMenu dijit/_TemplatedMixin dojo/text!./LayerListView.html dojo/dom-attr dojo/dom-class dojo/dom-style ./NlsStrings".split(" "),function(t,u,m,r,e,n,g,v,w,x,y,s,h,k,z){return u([t,x],{templateString:y,_currentSelectedLayerRowNode:null,postMixInProperties:function(){this.inherited(arguments);this.nls=z.value},postCreate:function(){r.forEach(this.operLayerInfos.getLayerInfoArray(),
function(a){this.drawListNode(a,0,this.layerListTable,!0)},this);r.forEach(this.operLayerInfos.getTableInfoArray(),function(a){this.drawListNode(a,0,this.tableListTable,!0)},this)},drawListNode:function(a,b,d){var c;0===a.newSubLayers.length?(c=this.addLayerNode(a,b,d),this.config.showLegend?this.addLegendNode(a,b,c.subNode):k.set(g(".showLegend-image",c.currentNode)[0],"display","none")):(c=this.addLayerNode(a,b,d),r.forEach(a.newSubLayers,m.hitch(this,function(a,b){this.drawListNode(b,a+1,c.subNode)},
b)))},addLayerNode:function(a,b,d){var c=e.create("tr",{"class":"jimu-widget-row layer-row ",layerTrNodeId:a.id},d),f,l,p,g,h,q;f=e.create("td",{"class":"col col1"},c);for(p=0;p<b;p++)e.create("div",{"class":"begin-blank-div jimu-float-leading",innerHTML:""},f);q=e.create("div",{"class":"showLegend-div jimu-float-leading"},f);g=e.create("img",{"class":"showLegend-image",src:isRTL?this.layerListWidget.folderUrl+"images/v_left.png":this.layerListWidget.folderUrl+"images/v_right.png",alt:"l"},q);l=e.create("div",
{"class":"div-select jimu-float-leading"},f);p=new v({checked:a.isVisible(),"class":"visible-checkbox-"+a.id});e.place(p.domNode,l);h=e.create("div",{"class":"noLegend-div jimu-float-leading"},f);e.create("img",{"class":"noLegend-image",src:this.layerListWidget.folderUrl+(a.isTable?"images/table.png":"images/noLegend.png"),alt:"l"},h);if(a.noLegend||a.isTable)k.set(q,"display","none"),k.set(l,"display","none"),k.set(h,"display","block");k.set(f,"width",12*b+35+"px");b=e.create("td",{"class":"col col2"},
c);e.create("div",{innerHTML:a.title,"class":"div-content jimu-float-leading"},b);f=e.create("td",{"class":"col col3"},c);f=e.create("div",{"class":"layers-list-popupMenu-div"},f);l=(new w({_layerInfo:a,box:this.layerListWidget.domNode.parentNode,popupMenuNode:f,layerListWidget:this.layerListWidget,_config:this.config})).placeAt(f);this.own(n(l,"onMenuClick",m.hitch(this,this._onPopupMenuItemClick,a,l)));d=e.create("tr",{"class":"",layerContentTrNodeId:a.id},d);d=e.create("td",{"class":"",colspan:"3"},
d);d=e.create("table",{"class":"layer-sub-node"},d);this.own(n(b,"click",m.hitch(this,this._onRowTrClick,a,g,c,d)));this.own(n(q,"click",m.hitch(this,this._onRowTrClick,a,g,c,d)));this.own(n(c,"mouseover",m.hitch(this,this._onLayerNodeMouseover,c,l)));this.own(n(c,"mouseout",m.hitch(this,this._onLayerNodeMouseout,c,l)));this.own(n(p.domNode,"click",m.hitch(this,this._onCkSelectNodeClick,a,p)));this.own(n(f,"click",m.hitch(this,this._onPopupMenuClick,a,l,c)));return{currentNode:c,subNode:d}},addLegendNode:function(a,
b,d){d=e.create("tr",{"class":"legend-node-tr"},d);d=e.create("td",{"class":"legend-node-td"},d);try{var c=a.createLegendsNode();k.set(c,"font-size",12*(b+1)+"px");e.place(c,d)}catch(f){console.error(f)}},_fold:function(a,b,d){"none"===k.get(d,"display")?(k.set(d,"display","table"),s.set(b,"src",this.layerListWidget.folderUrl+"images/v.png"),a=!1):(k.set(d,"display","none"),s.set(b,"src",isRTL?this.layerListWidget.folderUrl+"images/v_left.png":this.layerListWidget.folderUrl+"images/v_right.png"),
a=!0);return a},_onCkSelectNodeClick:function(a,b,d){b.checked?a.setTopLayerVisible(!0):a.setTopLayerVisible(!1);d.stopPropagation()},_onPopupMenuClick:function(a,b,d,c){this._changeSelectedLayerRow(d);b&&"opened"===b.state?b.closeDropMenu():(this._hideCurrentPopupMenu(),b&&(this.currentPopupMenu=b,b.openDropMenu()));c.stopPropagation()},_hideCurrentPopupMenu:function(){this.currentPopupMenu&&"opened"===this.currentPopupMenu.state&&this.currentPopupMenu.closeDropMenu()},_onLayerNodeMouseover:function(a,
b){h.add(a,"layer-row-mouseover");b&&h.add(b.btnNode,"jimu-icon-btn-selected")},_onLayerNodeMouseout:function(a,b){h.remove(a,"layer-row-mouseover");b&&h.remove(b.btnNode,"jimu-icon-btn-selected")},_onLayerListWidgetPaneClick:function(a){a&&a.closeDropMenu()},_onRowTrClick:function(a,b,d,c){this._changeSelectedLayerRow(d);b=this._fold(a,b,c);a.isLeaf()&&!b&&(c=g(".legends-div",c)[0],b=g(".legends-loading-img",c)[0],c&&b&&a.drawLegends(c,this.layerListWidget.appConfig.portalUrl))},_changeSelectedLayerRow:function(a){this._currentSelectedLayerRowNode&&
this._currentSelectedLayerRowNode===a||(this._currentSelectedLayerRowNode&&h.remove(this._currentSelectedLayerRowNode,"jimu-widget-row-selected"),h.add(a,"jimu-widget-row-selected"),this._currentSelectedLayerRowNode=a)},_onPopupMenuItemClick:function(a,b,d,c){c={itemKey:d.key,extraData:c,layerListWidget:this.layerListWidget,layerListView:this};"transparency"===d.key?"none"===k.get(b.transparencyDiv,"display")?b.showTransNode(a.getOpacity()):b.hideTransNode():(a=b.popupMenuInfo.onPopupMenuClick(c),
a.closeMenu&&b.closeDropMenu())},_exchangeLayerTrNode:function(a,b){var d=g("tr[layerTrNodeId\x3d'"+a+"']",this.layerListTable)[0],c=g("tr[layerTrNodeId\x3d'"+b+"']",this.layerListTable)[0],e=g("tr[layerContentTrNodeId\x3d'"+b+"']",this.layerListTable)[0];this.layerListTable.removeChild(c);this.layerListTable.insertBefore(c,d);this.layerListTable.removeChild(e);this.layerListTable.insertBefore(e,d)},moveUpLayer:function(a){var b=this.operLayerInfos.moveUpLayer(a);b&&this._exchangeLayerTrNode(b,a)},
moveDownLayer:function(a){var b=this.operLayerInfos.moveDownLayer(a);b&&this._exchangeLayerTrNode(a,b)}})});
