First, Albivi is, as are many NJ dining spots, BYO. They have a wine list from a local winery, but you can bring wine or beer with no corkage fee.
Second, the menu, although heavily "red-sauce" Italian, is quite varied; you can probably find something to your liking, and in a pinch, can order a personal-sized pizza (which is excellent) either thin or regular crust, with a large selection of toppings.
The only bad part of the restaurant is probably what makes it so popular with families with younger children: the noise level is horrendous. We had a small table for four, and couldn't hear each other speaking. Of course, this was mid-week, and possibly on a weekend, with mostly couples dining, it might be better.