Some of this is starting to sound borderline antisemitic. 
I live in an area immediately adjacent to Stamford Hill (am not Jewish) and although it is fair to say that it's a very closed community, it's also quite complex and varied society with lots of different sects and factions, who probably all have slightly different takes on this story. There is an interesting blogger who tweets as ifyoutickleus with an ironic, sometimes quite critical analysis of the internal workings of the Stamford Hill Charedi community.
I'm not trying to defend the letter, btw, just for the avoidance of all doubt - there clearly is a massive problem in Charedi society with patriarchal authority and with children and young people being effectively denied entry into mainstream British society because they are so segregated from it, and because much of their education is designed to keep them within their own community and deprive them of the skills needed to survive outside that enclave.
But I'm sure there isn't a universal response to the driving ban, it is presumably this weekend's hot topic of conversation. You do see Charedi women driving, though not that often. In a cynical mood I might speculate whether the Rabbis just feel threated by the fact that the women are better drivers than them - the general driving style in Stamford Hill can be described as 'erratic' at best, hair raising at worst. 