Invisible Invaders and Plan 9 From Outer Space both came out in 1959. If I hadn't known better, I would've guessed that II was some lost Ed Wood creation. Perhaps Ed Wood had some influence on II director Edward L. Cahn or vice versa. Certain similarities, such as continuity problems, generous use of stock footage, and recycling of shots can more easily be explained by low budgets.
However, a small purse cannot be blamed for both films using an omniscient narrator or the common theme of aliens who respond to earthlings's nuclear development by resurrecting dead humans, who then attack live humans. No sir!
I do not believe that 1950s alien invasion films are really about Communism. I believe that subconscious eruptions fuel our fear of both aliens and Communism (and a lot of other stuff). The walking dead could be the return of the repressed! I think of these films as modern folklore, that reveals our collective uncoscious.
In any case I videoed the opening scene of II, which I think is awesomely bad! You can watch trailers on youtube.