I know exactly how to do it!
1. Remove the door panel
- there is 2 screws - one by door handle - the other one by the handle that you pull to close the door.
- then you have to pull the whole panel off, it going to seem like you are going to break something but just firlmy but gently pull it off.
2. Now you are going to see another plastic panel, but since mazda was so smart you dont have to take that one off.
- you have to remove a smaller white/clear plastic. No bolts Just pull ;D
3. Now you are all ready to take the handle off.
- there is 2 nuts you have to remove, you should be able to find em failry easy there located right under that white/clear plastic you removed in step 2.