You just can use doStuff($event) in your markup and get the data-attribute values via currentTarget.getAttribute("data-id")) in angular. HTML:
<div ng-controller="TestCtrl">
<button data-id="345" ng-click="doStuff($event)">Button</button>
</div>
JS:
var app = angular.module("app", []);
app.controller("TestCtrl", function ($scope) {
$scope.doStuff = function (item) {
console.log(item.currentTarget);
console.log(item.currentTarget.getAttribute("data-id"));
};
});
Forked your initial jsfiddle: http://jsfiddle.net/9mmd1zht/116/