Alan, do you (or does anyone) know where these body mics on Streisand and Martin were situated on their bodies or costumes? Not that I doubt that they wore them, but I can't recall ever seeing evidence of the mics in production photos. Were the mics really that tiny and able to be placed so far from their mouths that they wouldn't be seen?
I saw Streisand in Funny Girl when I was a teenager but could have easily missed spotting her mic. I had been a precocious young fan since her first album and was disappointed to see her more or less "walk through" the first numbers in the show, before I even understood the term. She finally came alive singing People and was then, as expected, brilliant throughout the rest of the show.
Also, those bagels hanging from Private Schwartz's belt were even there in the original production, painted red, white and blue. I think they can be glimpsed in color photos (I still haven't seen the revival).