I can confirm that the beignets were excellent as recently as December 22. Mind you, the atmosphere is quite Cafe du Monde, but it'll do!
As for the transport, we stayed at POR-Alligator Bayou side. The walk to FQ was about 10-12 minutes at a pretty slow pace (i.e., as fast as a wandering 5-year-old goes). If you are on the Magnolia Bend side of POR, it could be even shorter. If for some reason you don't want to do the walk, the boats to DtD generally will stop at POFQ on the way. Just check with the captain to make sure you haven't hit one of the very few that goes direct. Even so, I'd do the walk, because you'll need to wait for the boat and the boats aren't exactly fast anyways!
As for buses, at most times of the day, FQ and R have separate buses. In our 9 days, we never were on a bus that did both.