Godox can stand toe to toe with Profoto on any aspect of performance - power, colour, durations, consistency, remote control. Build quality is on a similar level, too. They've done an amazing job in such a short time and have got all the major brands seriously worried. There are differences of course, but they're mostly pretty minor - biggest one is probably the AD600's modelling lamp which is a stop down on the B1X. It's just about usable for studio work whereas the B1X is on a par with many mains-powered units.
I've spent the last few months living with a pair of Godox AD600 TTL heads plus 1200Ws extension, AD360, AD200, and V860 speedlite, Profoto B1X and B2, both Phottix Indras, iLux Summit 600, Bowens XMT, Interfit S1, and Elinchrom HS. I have tons of data but unfortunately I can't say much more than that as the reviews have been commissioned by Digital SLR Photography magazine - Part One (under £700) has just been published and Part Two (over £700) is coming up soon.
But the main differences are in what you can see or read from the specs. Take the Profoto B1X vs AD600 - on the face of it they're pretty similar, and they perform much the same too, but the AD600 can split into two parts with the power pack over your shoulder and a separate extension head (perfect on a boom. too). Or you can double-up and fire two power packs through the 1200Ws head, with the second pack slung over your (assistant's) other shoulder, for massive mobile power down to 1/512 output. Performance matches or beats both the Profoto B4 (£6k, weight 10kg) and Elinchrom ELB1200 (£3.5k, 6.5kg) for the extra cost of a 1200Ws flash tube (£250). The two Godox packs clamp easily to any stand with M'frtto Superclamps or a Kupo, even to the legs providing excellent ballast weight and overall I see this design as an advantage rather than an inconvenience.