Generally not accepted, though, Ruth's was not accepted by most before. So it's probably a wash. Though I'm genuinely curious how a rabbi in Brooklyn is providing Hashgacha on this.
WOW! I can not even say how disappointed I am in this thread. The total disregard for the effects your comments have on someones parnasa is astounding. Especially since they are completely false.
If you're genuinely curious than find out in a less public way. Also, who are you to say if the IKC is generally accepted, you live in your "bubble" and maybe it's not accepted there but in my "bubble" it's very accepted. This isn't Israel or America it's not as easy to make OU and name brand hechshers work.
To answer your curiousity, just like major hechshers in America, the main Rabbi associated with the hechsher doesn't visit every store every day. He has people working for him who can check up on the restaurants themselves. In this case it is the Chazzan of the shul, Jacopo Treves who is the Masgiach. It just so happens the "rabbi in Brooklyn" will be there next week but that is totally irrelevant.
This thread is literally what's wrong with the politics of Kashruth and Judaism in general. If you knew the man you were hurting you would be ashamed. He told me he would love to leave Florence to go to a city or country with a more vibrant Jewish community but he feels if he left there would be no where for Jews to get Kosher food and people might eat non-kosher, so he stays. That is the person you are doubting and hurting...