Funny thing is before BSG aired I thought I might have a problem with it, however looking back it didn't bother me at all. I felt it gave the series a more timeless appeal that allows the show to "age better", and it did give Caprica and the colonies a feel and look that is so close to Earth...its like watching a show set in the near future, not some far flung planet which I enjoyed.
In similar vain, I never gave the clothing a second thought, they never bothered me and the near future look as you mentioned, now in hindsight, works for me as well. I wouldn't be surprised if this was somewhat the approach the creative team was taking as well. I mean, sure they could have designed new cuts of materials and the like for different clothing, but why? Making the military uniforms was time consuming and costly enough as it is, and what cuts would someone have them do? Compared to the original BSG, the costumes/clothing on this series is far, far better, I mean can you imagine Edward James Olmos strutting around in a cape (which in hindsight, might partially be the reason why he was initially so reluctant to join the cast)?