Alan Branch isn't a nose tackle for them. He's a 3 tech gap shooter because he naturally plays high and sucks at anchoring at the point of attack (which is why he was a failure as a two gapper in Arizona's 3-4) . Brandon Mebane is their 1 tech who at 310 lbs. occupies the guard and center gap just by being quick off the snap and short/squatty enough to use leverage to anchor.
If the Cowboys ran a similar 4-3 over/under base, I'm assuming the translation would be as follows...
"Leo" 9-tech - Chris Clemons - > Ware
1 tech - Brandon Mebane --> Ratliff
3 Tech - Alan Branch --> Hatcher
5 Tech - Red Bryant --> Crawford