Three Things to Figure Out:

1. When you are driving, who has the right of way in this situation:  I going westbound and am turning right when I have a green light and someone is travelling eastbound and is turning left and has a green light but no arrow.  I have a yield sign but they do too because you yield to oncoming traffic when you are turning left with a green light but no arrow.  


ANSWER:  Thanks to New York DMV, I now know the answer.  "If drivers approaching from opposite directions reach an intersection at about the same time, a driver turning left must yield to approaching traffic going straight or turning right."


2. Would J have to give up his British citizenship to become a US citizen with post-9/11 rules?  Or can he be a dual citizen?


First of all, this is interesting from the Wikipedia article "Multiple Citizenships":
"- Automatic loss of citizenship if another citizenship is acquired voluntarily (e.g., Azerbaijan,^[6] China, Czech Republic, Denmark, India, Japan,^[7] Norway). In the case of the Czech Republic two specific exceptions apply: 1. restoration of the Czech citizenship (while keeping the one possessed to date) when the citizenship of former Czechoslovakia was illegally taken away in the years 1948-1990 by the Communist regime, and 2. Czechs as former Czechoslovakians that as of September 31, 1992 had Slovak citizenship causing the automatic loss of the Czech citizenship could apply to regain that Czech citizenship without losing the Slovak one thus becoming dual citizens too.

Possible (but not automatic) loss of citizenship if another citizenship is acquired voluntarily (e.g., Singapore^[8], South Africa^[9]).

Possible (but not automatic) loss of citizenship if people with multiple citizenships do not renounce their other citizenships after reaching the age of majority or within a certain period of time after obtaining multiple citizenships (e.g., Japan).^[10]

Criminal penalties for exercising another citizenship (e.g., Saudi Arabia)."

ANSWER: "the US naturalization oath does contain a renunciatory statement which all would-be citizens must agree to make"

However, "Many other countries do not recognize the act of renouncing their citizenship as part of US naturalization, so a new US citizen may very likely still be considered a citizen by his old country."

Does the UK? 

From the UK Border Agency: "You will not normally lose your British nationality if you become a citizen or national of another country."

Wow.  Interesting.  So the US has an interesting law where it's like having your cake and eating it too.  You can keep your other citizenship but you have to denounce it.  I don't think J is going to be up for that.  So can he be a permanent resident and work without ever becoming a full US citizen?

I will have to find out later...

3. I forget.  Hm.