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The question is opinion based as per me and to further your question, would you still like to use Django templating system or would you like to build api using Django Rest Framework and utilise the full power of Babel transpiler and ever improving JS frameworks to consume those apis?
Using build systems like Grunt/Gulp/Webpack can smoothen the management of static files which is a plus. But do ponder upon full fledged use of this tools in conjunction with some of the excellent JS frameworks that are available to provide a unique experience.
So what I am suggesting is go a step further use the tools you have mentioned and try out Angular/ReactJS/Aurelia or any other JS framework/library of your choice.
Source:stackexchange.com