Well, having classical background is very good. Gives you alot in terms of theory and technique.
I agree though, that it needs time to adjust your 'feel' of the instrument as the elec. has alot of quirks like string buzzes, feedback, hum that you need to take into account.
I disagree about the 'select your style' thing though. Its really a personal thing though, learning rock has really degraded my understanding of music, from notation to harmony as I tend to rely alot on tabs, and alot of rock songs are fairly simple....(although they are really fun to jam)
Having said this, the electric can do alot of complex stuff too from classical (think yngwie) to blues and Jazz ( i feel is the epitome of music).
So best is to keep to own interests, learn new styles but don't give up your fundamentals in classical music/guitar!!