Packages such as PrimeFaces contain an extensive set of vendor-specific style definitions that support their "skinning" framework and the names of those style classes are very specific to PrimeFaces. A generic non-Primefaces them won't even begin to fit.
Another thing that the PrimeFaces skins do is separate the look from the function. It's perfectly legal to blend in your own JavaScript (or jQuery), but you have to do so in a way that doesn't interfere with the basic functionality of the controls. So for example, javascript that turns a textbox outline bright yellow when the control receives focus is probably OK, but javascript that attempts to meddle with the dropdown/edit mechanism of a combobox won't be - Primefaces will add additional "on" event attributes to the stock set when stuff like that needs to be customized without breaking the control's basic functionality.
So in brief, you probably aren't going to be able to apply a theme designed for an HTML-only product like WordPress to the
JSF PrimeFaces environment without extensively rewriting it.
The secret of how to be miserable is to constantly expect things are going to happen the way that they are "supposed" to happen.
You can have faith, which carries the understanding that you may be disappointed. Then there's being a willfully-blind idiot, which virtually guarantees it.
