Do what I did. Remove both the latch and the plastic piece on the door. Toss them in the trash. Buy some magnets from Lee Valley Tool (they're nice and work well).
ItemDescriptionQuantity99K33256pc 3/4" Magnet Set (Magnet,Cup,Washer)199K331512pc 3/8" Magnet Set (Magnet,Cup,Washer)
I used the larger magnet between the door and the screen door. Magnet in cup on one side and just a metal plate on the other side.
Then, for the screen door use the smaller magnets. If you've got a steel door frame you can just use the magnets in the smaller cups they come with and screw them in using tiny screws if you don't have a steel door then I used metal plates leftover from a magnetic phone holder mount.. thin steel and two sided Gorilla tape to secure to the frame.
Works like a charm and the stupid latch is gone forever.
Here's the video I used for inspiration :-)