Would an ana blood test be positive in someone with sarcoid since it is an autoimmune disorder?

Can but not usual!: ANA positivity is not specifically a feature of sarcoid. 5% of the population has a "false" positive ana. And many autoimmune problems (actually most) are not associated with a positive ana.

Yes, but: ANA can be positive in sarcoidosis. Calling it autoimmune is a classification, nothing more.

No: Until somebody convincingly presents the scientific community with the autoantigen in diseases like sarcoidosis, psoriasis, crohn's, and their family, I am not ready to call sarcoidosis an "autoimmune disease." immune dysregulation, probably. Most sarcoid patients do not have significant ANA on board, and neither do many other autoimmune diseases.

ANA not in sarcoid: ANA, or anti-nuclear antibody, is a sensitive and specific test for systemic lupus erythematosus only at high titer >1:320. A low titer positive ANA, such as 1:40 may be detected in up to 1 in 10 HEALTHY women. Sarcoidosis is a disease of hyperactive immune cells BUT it is not characterized by specific antibodies like ANA. Someone with sarcoid would not be expected to have a high-titer ANA.