it's not OE, and it's got a crack in its case.NOT sure what brand BBB is, but if the failed alternator is OEM, then I like the idea of replacing it with the one from the parts Jeep and then having the failed one rebuilt by a reputable auto/electric starter/alternator repair shop if you still have one on your area.
Or even rebuild it yourself with quality parts.
IOW… cheap rebuilds from fast parts stores use poor quality parts and are bound to fail sooner then a properly rebuilt OEM unit.
Just my .02