I don't think arranged marriages could work in the mainstream British culture.
Dating is an important form of socialising in this country, we have no stigma about cohabiting and sex before marriage and ultimately, we have less pressure put upon us to keep a bad/abusive/unhappy marriage going.
There also appears to be varying degrees of arranged marriage. Some are deemed an AR purely because the parents introduced the children and left them to it. At the other end of the scale, a bride and groom only meet on their wedding day. That kind of set up will never work here - indeed, in our culture it is deemed a supreme act of foolishness to jump into matrimony with someone you don't even know. In a modern and liberal democracy how can you persuade John the city banker and Joanne the nurse to stick together and procreate despite their vast incompatibility that kicked in straight after the wedding?
AR may work in some cultures but horses for courses comes into play here.