Granted, it's always easier just to consent and show ID when you don't have to, show blue card when you don't have to, etc. I lean either way depending on my mood. If I'm in a foul mood, some arrogant cop isn't going to get anything from me other than what I'm required by law to give. If I just got my tax refund check, I'll probably do whatever just to go on about my business as quickly as possible.
For the blue card though, why would the cop prefer it that way? Are you allowing the cop to illegally seize your gun so that he can verify the serial number against the blue card? Why would your firearm be out of your holster?
By the way, I checked out your profile and see you are a bartender. Anyone ever walk in openly carrying?