If Freemasonry is not a secret society as you claim, why do Freemasons who are government officials, public corporation officers, or political figures refuse to disclose their membership?
Actually, for a "secret" society, it IS pretty OPEN! You can probably find out, right now, who present Masons are. And there are many books, which list rafts of names, of present and past Masons in and out of government. Heck, go read old posts of mine, here and you'll get cross-eyed, from reading the 100s of names I've posted, as to is and has been a Mason. ;^)
"...why do Freemasons who are government officials, public corporation officers, or political figures refuse to disclose their membership?"
That is news to me.
My daddy is a 33rd degree Scottish Rite Mason, KYCH - York Rite Mason, among many other things.
He has NEVER kept his membership a secret, nor has any of his fellow Masons.