I used to be in that mind set too, but lately the DSLRs are going so advance so quickly that they are closing the gap.
There are many music videos and even films shot with DSLR’s and the average person will never tell the difference between the two.
Vimeo has an entire movement dedicated to shooting with DSLR’s.
While yes they are not as great as video cameras and equipment costing $5000+ they are superior to any camera that’s priced comparatively to the DSLR.