When you ask about the dominant musical style of today, I think it depends upon whom you ask. My music students might name the latest pop group, probably a mixture of rap and rave but never the corporate-owned boy-bands. If I narrowed the question and steered it toward contemporary art music, they might answer neo-romantic. My generation (the 40-somethings) would add eclecticism, although I see a smoothing, a more subtle approach to this post-moderism collage style (like comparing stereo records from the 60s to those produced now).
In terms of future styles, this is what I yearn from young composers-exploration of timbre driven by the melodic; consideration of silence advanced by rhythm; balancing music intended for the mind and heart, yet approved only by a well-honed ear.