Apparently, when they woren't working, Baldwin and Pillegi were goofing off with their prop guns, much to the annoyance of the first AD (assistant director). Also, in one scene Baldwin had with the actress playing his ex-wife, she had to stand on a box because he was so much taller than her.
There was also a scene where Diggs was supposed to be holding Baldwin at gunpoint and takes his gun away, which Himself found amusing because Diggs is a much smaller guy than Baldwin and really didn't look all that intimidating.
Himself also reported that he spent much of his time when he was waiting around humming 'The Hero of Canton' under his breath.
No, he did not actually do so loud enough for Baldwin to hear or actually get to talk to him, as that would have gotten him kicked off the set and likely fired from Central Casting.
And there's your Hollywood Insider scoop for the day!