Exactly!
I really doubt a LEO would willingly take the risk of the resulting lawsuit based an a hunch, but if he TRULY believed that you were lying go ahead and arrest them, they STILL don't have to ID themselves
And how does that work exactly... When they arrest you and take you to jail - can they not just flip open your wallet and look at your ID (assuming you have it on you, and just refuse to provide it)? They've already seized it as far as I understand it - so what stops them from looking at it?
Also, being licensed and having fingerprints in the system - your refusal to hand them your drivers license is just going to force them to fingerprint you (and, as such, identify you). It seems like refusing to ID on a stop to check your LTCH would just delay the inevitable if they really wanted to find out who you are (not that it means we should be compelled to provide ID if we don't).
Unless you have some reason to hide your identity (i.e. warrants, etc) I'd probably personally just hand it over if they asked unless they were overboard JBT.