for the job as assigned by Sutter, yes, they'll do fine. in the 2013 playoffs, Lewis was asked by and NBC analyst what his job was, he said their job was to be aggressive, keep the puck in the opponents end while the top lines get a breather.
That's how Sutter sees the top 6 vs bottom 6. Scoring emphasis, PP time ,etc, go to the top 2 lines.
Sutter won't roll 2 rookies at center, Lewis and Shore will most likely be the centers. And both lines are physical enough to keep the puck on the other side of the blue line for that 25 seconds or so for their shift. They're not going to strike fear in the hearts of the goalies, but they don't have to. That's how Sutter system rolls, as a puck possession team, emphasis is not on goal scoring. They're still a defense first group.
I don't expect Brown's numbers to climb very much, given his station. With King and Lewis and little to no PP time (Those 2 units will comprise the 6 forwards from the top 2 lines for the most part) , he'll be in the 30 -35 pt range.
His top production came from Kopi, 1st line and 1st Unit PP for a lot of years, once he moved, his numbers shifted as you'd expect. And that also depends on how much he uses that 3rd line as a shutdown line, which means a lot of shifts in their own end against top 6 forwards.