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You can look at ReactJS, it satisfies your requirements of being easy to code, easy to learn; and not sure what you mean by integration with Django's template engine (which one?)
Since ReactJS already is a huge proponent of pushing thoughts in the direction of "components", I think you would hardly need any "templates" per se.
Combined with Django on the backend, and ReactJS library (yes React is not a framework) in the front end, you should get a sweet setup.
To give you a quick start, here is a good seed project: https://github.com/Seedstars/django-react-redux-base
Angular and React work really well with Django! You can also take a look at EmberJS.loo
You can look up for some Boilerplate code on github and start from there, My personal choice would be ReactJS.