Hi, Damas.

You want to stop displaying avatar?
Well, there is no easy way to do it... I suggest to hide all avatars with css - I think this will be easiest and safest way (to not hack core files).
But you'll need to examine with FireBug class that apply to avatar in certain place and add to that class: display: none; It will hide avatar. Sometimes you'll need to edit other classes in order to move elements to fill gap created by avatar disappearance.

As this is major customization I can give you only overall tip how to achieve it as this is out of scope our technical support: www.jomsocial.com/support