Which MAC OS are you using? Can you clarify the issue? are you not able to open the the eclipse?
If so, it can be a permssion issue, Please check:
1) go to eclipse/ezUsbSuite.app/Contents/MacOS
2) add the executable permissions (chmod +x ezUsbSuite)
If this does not help, please provide us a complete detail of the issue that you are facing (you can attach snapshots as well).
I followed your method to add the executable permission and re-installed Java SE 6 runtime from Apple. Now Eclipse works!
I am running macOS Sierra 10.12.2 on an Macbook Pro with 13-inch screen and touchbar.