The Celtic "fringe", especially Ireland, but western Scotland as well, and Ulstermen, the so called Scots-Irish, who some may not consider "Irish", have a lot of people who retain a lot of the "Med" along with the "Atlanto" in their phenotypes. In America I see it particularly in the people of the Appalachians.
When I first saw a picture of Loretta Lynn, I thought she looked a lot like me when I was in my twenties and early thirties, to be honest.
It's just a mix of the ancestral populations we have in common which by happenstance result in a similar look.
Spaniards can sometimes overlap a bit with them too, although Duarte's father (very handsome, btw, Duarte), looks very Spanish to me still, not at all British. Some can definitely fool me, though. When I first saw a picture of Tyrone Power, I was absolutely certain he was a Spaniard who had changed his name. Alas not. Completely British, with a lot of Irish in him.
I have relatives who could fit pretty well in the picture of your very handsome family, but it has to do with shared ancient ancestry, I think, including ancient EEF/Neolithic farmer ancestry which produces that longer face and more refined features, but I don't think it is necessarily tied only to your yDna "T". I'm sure there are other y lines, and, more likely, given what happened to Neolithic y lines in Britain, lots of mtDna lines which can be traced to the Neolithic farmers of Europe.
This is what I mean.
Couldn't some of these people from the Lunigiana fit in pretty well in your group?
I wouldn't mistake them for Irish, most of them, but the differences can be pretty subtle between Europeans from different countries.
Elio Germano
A Miss Parma:
A good number of them I'd have difficulty with myself.
Miss Parma contestants:
A Miss Liguria:
Coon talks about some of this in his books, i.e. British Mediterraneans
http://www.nordish.org/troeplate25.htm
One of his examples of an Atlanto-Med from near Genoa looks a lot like my Dad when he was younger.
http://www.nordish.org/troeplate23.htm
Your Dad to me actually had in the first picture of him a bit of this plate of what Coon calls a Dinaric. That's why I thought he looked a bit like my husband's father, who was definitely Dinaric. I don't see it the other pictures so much, however, or in the rest of the people in your family pictures. It may have just been the angle.
Anyway, feel free to ignore any or all of this.
It's just my subjective view of a very nebulous subject.
BTW, did you know that Thomas Jeffferson carried a "T" haplogroup? He's the only one among all those R1bs. They definitely traced his ancestry back to somewhere in England.
He wasn't always wrong.