This is a twist of the Justin's project: https://github.com/justin-lau/ui-iconpicker
The idea behind this is to use the icon picker only as an attr directive for input elements... Like this:
<div class="form-group">
<label>MyIcon</label>
<div class="uib-dropdown">
<input type="text" ui-iconpicker groups="font-awesome" uib-dropdown-toggle ng-model="iconClass"></input>
</div>
</div>
The original ui-iconpicker can be used in many other ways.
See it in action: http://justin-lau.github.io/ui-iconpicker/.
Bootstrap 3's CSS
Font Awesome v4.7.0 icons.