So it's a mayor-manager system of the kind we have in the States?
It was (and will be until May), yeah. It's interesting to note that it was a total failure while the same can't be said of the other elected Mayor setup. It might be because it goes so utterly against local government traditions here, it might be because it's inherently undemocratic, it might be both.
The BNP are already a force in local politics in parts of Stoke, so there's no need to say "hello" to them. The reduction in seats could hurt them (they tend to win on very low percentages and by small margins and in only parts of the city), the switch to all-out elections (rather than thirds)
probably will (in some small way), but the thing that would really damage them would be the return of some form of party discipline to local politics in Stoke. Not that that's especially likely though.