Hi,
Loginizer has the following features that are not available in Wordfence :
1. Captcha on login/register/comments/checkout pages.
2. Rename wp-admin slug / login page (only you will know the admin slug so no bruteforce)
3. Disable XML-RPC (this is abused a lot so if you are not using, it is a good idea to disable it)
4. Disable ping backs
5. Login challenge question
Loginizer is available in Free and Pro version and the above mentioned features are available in the premium version. Here is the comparison :
https://loginizer.com/features
There should be no issue using Wordfence and Loginizer together. If you face any issues do let us know and we will check it asap.