No, that would not work. The basic rule is 1 inch of fish per 1 gallon of water, so the tank in the video is over stocked. Tetras are schooling fish so they should be in a group of at least 5, so this would not work in your tank. The betta and 2-3 shrimp would be fine, but most other fish need to be in a school (or at least the ones that you can try with a betta). Also, tetras tend to be nippers, and a 5.5 gallon would not provide enough space for a betta to get away.
For an idea of how much to put in a tank, please see our sticky thread on stocking
in the compatibility section.