IMHO.....The class system does still exist here...you only have to look at the royal wedding to ascertain that, apart from a few well known comedians and entertainers, who happen to be favourites of the royals...the only people with invitations to Charlie and Camillas wedding are the aristocracy.
The middle and lower classes have become blurred by the nouveau-riche who have won on the premium bonds, pools or the lottery...But the grafters are still the working class.... and doctors, dentists and other equal professionals are middle class and the "businessmen" or owners are the upper middle and function at a distance from the lower class.
Although communication has become easier between the classes, the behaviour and expectations from degrees of the "classes" has not really changed so much.
Best wishes, Mike.