Is a DSLR worth my money?

I'm considering purchasing the Nikon d3200 and have some questions.

I'm looking to take short scripted video clips, not long speeches or interviews.

Will a DSLR overheat if I:
Take lots of short clips (30 seconds-1 minute) I'm using to put together a movie with short scenes, but I'm wondering if I take lots of short clips, will the sensor overheat like it does while videoing a 15+ minute interview? Because these takes are separated instead of one long one, will the DSLR still overheat?

Also, is a DSLR worth my money as opposed to an HD video camera? I know DSLRs give a more professional look to your videos and take great stills, but there are some set backs like overheating that I'm concerned about.

I have a Nikon D5100, I have never had issues with it overheating and I use it for the same things. I absolutely love it. Expensive, but if you are semi-amateur and want something that looks very nice, I would recommend the D5100

Yes DSLR camera is great for photography.
I'm using Panasonic DSLR camera - DMC -G3W and in my personal experience this is the best camera for photography.

The dSLR does ok for the short, scripted pieces with a tripod camera mount that you describe. As to your question of session time, yes the dSLR does have an absolute short term operating limit when in video mode. That is about 30 minutes cumulative, so if you take a 2 minute break between 1 minute takes, you should be good for a 90 minute to 2 hour shooting session, then i would recommend a 2 hour cool down. As to professional look, IMHO it will be the scripting, lighting, audio quality, acting, sets, and other factors that are more important than cost of the camera. If you walked into a movie studio and said, let's shoot the next scene on VHS, that sequence would look about as good as 65mm film when viewed on a VCR playback. The magic is in the skill set and imagination of the director and crew.