Implementing JqueryUI DatePicker

I am trying to implement the JQuery UI datepicker in react based on this (broken) demo https://stackblitz.com/edit/surveyjs-widgets-react?file=index.js. The JQuery UI picker question simply does not show up. I would appreciate input on what I am doing wrong, and a link to a working demo if possible. My code is below

index.js

JavaScript
import React, { Component } from 'react';
import { render } from 'react-dom';

import $ from 'jquery';
import JqueryUiDatepicker from './JqueryUiDatepicker.tsx';


export default class Survey extends Component {
  componentWillMount() {
    import('jquery-ui/ui/widgets/datepicker.js');
    window['$'] = window['jQuery'] = $;
  }

  render() {
    return (
        <JqueryUiDatepicker />
    );
  }
}

render(<Survey />, document.getElementById('root'));

JqueryUiDatepicker

JavaScript
import React, { Component } from 'react';

import * as Survey from 'survey-react';

import * as widgets from 'surveyjs-widgets';

export default class JqueryUiDatepicker extends Component {
  componentWillMount() {
    Survey.Survey.cssType = 'bootstrap';
    Survey.defaultBootstrapCss.navigationButton = 'btn btn-green';
    widgets.jqueryuidatepicker(Survey);
  }

  render() {
    var json = {
      pages: [
        {
          name: 'name_page',
          elements: [

            {
              name: "date",
              type: "datepicker",
              inputType: "date",
              title: "JQuery UI picker:",
              dateFormat: "mm/dd/yy",
              isRequired: true
            },
            {
              name: 'date',
              type: 'text',
              inputType: 'date',
              title: 'Normal Date Picker:',
              dateFormat: 'mm/dd/yy',
              isRequired: true,
            }
          ],
        },
      ]
    };

    var model = new Survey.ReactSurveyModel(json);
    return <Survey.Survey model={model} />;
  }
}

relevant dependencies

"survey-react": "^1.0.89",
"surveyjs-widgets": "^1.1.13",
"react": "16.8.6",
"jquery": "^3.4.1",
"jquery-ui": "^1.12.1",
"bootstrap": "^4.3.1",