Hello offworkandlovingit,
No, Victor's horrible suggestion in this thread will work as described and will disable key parts of Apple's security infrastructure, leaving you open to all kinds of adware and malware. It should never be attempted under any circumstances. If anyone needs to bypass Gatekeeper, they can do that for a single app as leroydouglas described. In addition, if Gatekeeper blocks an app, you can go to System Preferences > Security & Privacy > General and click the "Open anyway" button to bypass Gatekeeper for a single app that you know to be safe.
Your system has already had its security infrastructure fatally compromised. I strongly suggest you do not attempt to damage it any further. You may need to erase your startup drive and restore from backup. You might even need to restore only user documents and reinstall any 3rd party software. If you don't know how your sudoers file became corrupt, then perhaps avoid the 3rd party software.