Two beams of flashlight don't make the experiment. White light consists of a myriad of spectral frequencies all mixed together to create the appearance of white. All these frequencies are being emitted in all sorts of random phases. Cancellation is impossible. For light to cancel, you would need to use lasers.
Here is an example of constructive and destructive interference on light, and its applications.
Here is an example of constructive and destructive interference on light, and its applications.