Hey! I personally use the a6000 for video work!
The overheating issue is not something I experienced often has I don't shoot events and I'm really happy with it. A trick that helps is to put the LCD away from the back of the camera, it cools down a bit better like this.

All controls are enabled during capture (ISO, shutter and aperture), and the autofocus can offer really good cinematic results (set the AF drive speed to slow in the settings) and it will do amazing focus pulls!

The codec has also been updated (uses XAVCs compression at 50Mbps just like the a5100 now) so easier to grade.
You can also shoot with adapters and vintage lenses not to break the bank.

For the price I don't think I could have found better!
(not my videos, but really good showcase of what it can do: https://vimeo.com/93000218, there's a lot of good a6000 videos on vimeo)

First thank you all for your answers! I didn't saw them until today so sorry for my late answer.

I've really focused on writting better stories lately and it'll be my number one priority next time! I've been kinda bold calling it a first short, as it was still a school exercise and not my first personal project, but I should have taken way more attention to the story told!

I've always been hesitant about my skills but your comments have been very helpful and are a great motivation to keep on going, thank you again!