Not quite. The regulator I linked is an adjustable pressure regulator. It adjusts from 0-10 psi. The beauty of this regulator is that it requires no separate needle valve. Instead of controlling the flow rate with a needle valve, you simply dial in the pressure with the red knob on the regulator itself. This is the regulator most often seen on the SQ-14 Bayou Classic burners (which use essentially the same 6" ring burner that I also linked above). Now then, you will want to use a high pressure orifice with these regulators. The regulators will each have one of these attached to the end of the supply hose. The problem is that the orifice is attached to the hose with some sort of a crimped connection. I'm not sure if you could cut these off and re-use them or not, but you can buy the orifices separately from Agrisupply. The ones you buy should have tapered pipe threads on both ends. They are not expensive at all. I guess you could use the regulators as they are, but I was kinda figuring you would want to hard pipe everything. I would be a little concerned about using the rubber gas supply hoses if they will be exposed to high heat such as the BG-14's are likely to produce. You don't want to melt a gas line for sure.
I would then use a non-adjustable high pressure regulator on the propane tank to feed the gas rail. I suppose you could use an adjustable regulator for this also, but I see no advantage in doing so. I don't think I have seen anyone use individual regulators for each burner as I have suggested, but I do think it would be the best way to go. One of my buddies has a Brutus clone using the multi-jet wok burners. He used only a single regulator on the tank and ball valves for flame control on the burners. That's where I noticed that adjusting one burner will affect the others. Not good IMO. It's workable with enough fooling around, but certainly not the way I would set it up. I don't like using ball valves for any kind of flow control whether gas or liquid. I prefer needle valves for gas and gate valves for liquids. Much better control. As I mentioned though, with the adjustable regulators, you won't need to use needle valves as the pressure adjustment is very controllable. If you go with my recommendations, please post back and let us know how it works out. I'm confident that you will like this configuration a lot.