I know this is a DLC question, but would White Glove attire help set my Strip rep to neutral when talking to
Spoiler Ulysses in the final part of Lonesome Road
?
No. The Strip is not a faction. The Powder Gangers, New California Republic, Caesar's Legion, Great Khans, Brotherhood of Steel and White Glove Society are official factions. Wearing one of their armors/clothing will reset these factions to neutral reputation. The Strip is one of the towns you can get reputation for, like Novac, Freeside or Goodsprings. They are not affected by faction armor.
The only way to lower your Strip rep is by doing bad things there, like shooting up a casino.