Try adding this to your package.json 
"eslintConfig": {
    "parserOptions": {
      "ecmaVersion": 6,
      "sourceType": "module",
      "ecmaFeatures": {
        "jsx": true,
        "modules": true,
        "experimentalObjectRestSpread": true
      },
      "env": {
        "es6": true,
        "browser": true
      }
    }
  }
and in your gulp file in your laravel-elixir instance check if there's a transformer named babelify in elixir.config.js.browserify.transformers and if it exists push into its options.presets a string stage-2. Here's how I have it in my gulp file:
var elixir = require('laravel-elixir')    
if (elixir.config.js.browserify.transformers[0].name === 'babelify') {
        elixir.config.js.browserify.transformers[0].options.presets.push('stage-2');
    }
It may differ for you but you get the idea. All this makes browserify compile the assets using the stage-2 features like the object spread operator that wouldn't normally be contemplated.