My own personal view is that I don't give a fig whether men are in a breastfeeding support group or not (and I attended one weekly for many months). I happily managed to breastfeed in public without exposing myself and without risking smothering my kid under a muslin cloth or cover. I'm a sexual abuse victim too, and I do feel very threatened by the prospect of be-penised people infiltrating women's changing space or toileting facilities.
A group situation where you're at all times in full view of that group, and it's highly unlikely you can be accosted alone, is to me a much less intimidating scenario. HOWEVER - and it's a big however - this isn't just about me. Some women are not comfortable with it, or can't be in this situation around men for cultural or religious reasons. And, yet again, it's the rights of the female being pushed onto the back-burner for the benefit of men. I always find it amazing that any woman could possibly see fit to pursue such an agenda. And for those who are disabled, there is nothing wrong whatsoever with obtaining alternative support for the very short amount of time - an hour a week? - when you are in the group.
Please - stop your territory pissing over other women's spaces and rights. To cite a similar example, I'd have loved to have DH on the maternity ward when I was catheterized, immobile and drugged up to the eyeballs after a CS when DC was born. It would have helped no end, both with rest and to get the BF relationship established. We couldn't - because the rights of the other women who had just given birth and who needed that ward space, their privacy and their dignity, took precedence, as they very rightly should.
Increasingly, there is such a common rhetoric that women should put up, shut up and shift aside when men see fit to infiltrate their private spaces, that more women such as yours truly who previously wouldn't have turned a hair are becoming stridently and vocally resistant to that.
And look at the news on any week you care to see fit. It's not really very surprising, is it?