There really isn't a way to get the dev server to multi-thread. There's been an open ticket about this in the django project for a couple years, and a patch (which you could try implementing to see if it works for you ;-) ). The ticket keeps getting closed or deferred to "design decision needed" because the project does not want folks to ever deploy using the management server... if it is multi-threaded, they just might "in emergencies". The management server is not efficient, nor tightened for security, so any chance that someone might run a production environment with it is quite dangerous... having django installs the world over develop a reputation for poor security wouldn't help :-)
My personal experience has been to run a local Apache instance wired-up like my production environment to test AJAX or other scenarios where you might get concurrent requests.
In your case, since you're just looking for the results of a request and you have access to the server code, I'd recommend a bit of refactoring so that you can get the results of that page's output without having to call that page via HTTP. Write a function that returns the actual result, and have your normal HTTP view simply call that function. This way any other app code can call that function too, without a server round-trip.