A good case in Ohio separating "Can I see your ID" from a warrants check:
Taking and retaining defendant’s DL without reasonable suspicion then running his name for warrants was suppressed. State v. Westover, 2014-Ohio-1959, 2014 Ohio App. LEXIS 1898 (10th Dist. May 8, 2014):
[*P28] We find the running of a warrants check to be the critical distinction between Jones and McDowell. As noted above, the Fourth Amendment is not implicated when an officer approaches an individual, asks them general questions, and asks to see their identification. An officer in receipt of an individual’s identification may accordingly jot down the information presented on the identification without implicating the Fourth Amendment. However, when an officer takes the further action of retaining an individual’s identification to run a warrants check, the officer has implicitly commanded the individual to remain on the scene, as no reasonable person would abandon their identification, and has demonstrated that they suspect that criminal activity is afoot. An officer must have some reasonable, articulable suspicion that criminal activity is afoot before they may detain someone in this manner to run a warrants check. Compare State v. Owens, 10th Dist. No. 03AP-423, 2004-Ohio-5159, ¶ 23 (noting that, because the officer lacked reasonable, articulable suspicion of criminal activity, the officer “was without legal authority to demand appellant’s driver’s license in order to run the LEADS check”).
Taking and retaining defendant’s DL without reasonable suspicion then running his name for warrants was suppressed. State v. Westover, 2014-Ohio-1959, 2014 Ohio App. LEXIS 1898 (10th Dist. May 8, 2014):
[*P28] We find the running of a warrants check to be the critical distinction between Jones and McDowell. As noted above, the Fourth Amendment is not implicated when an officer approaches an individual, asks them general questions, and asks to see their identification. An officer in receipt of an individual’s identification may accordingly jot down the information presented on the identification without implicating the Fourth Amendment. However, when an officer takes the further action of retaining an individual’s identification to run a warrants check, the officer has implicitly commanded the individual to remain on the scene, as no reasonable person would abandon their identification, and has demonstrated that they suspect that criminal activity is afoot. An officer must have some reasonable, articulable suspicion that criminal activity is afoot before they may detain someone in this manner to run a warrants check. Compare State v. Owens, 10th Dist. No. 03AP-423, 2004-Ohio-5159, ¶ 23 (noting that, because the officer lacked reasonable, articulable suspicion of criminal activity, the officer “was without legal authority to demand appellant’s driver’s license in order to run the LEADS check”).
“Those who beat their swords into plowshares usually end up plowing for those who kept their swords.” -Benjamin Franklin