Any sufficiently advanced technology is indistinguishable from magic.
I could maybe see this working a reboot of Enterprise, but TOS and TNG are just too far in the future to limit the technology to what we have on BSG. If anything Star Trek has underestimated humanity's technological development more often than it's overestimated it.
If I had to compare BSG Colonial society to us, I'd say they were not more than a couple of decades past us if you take away their FTL and artificial gravity. Hell, I would not be surprised to see something like a Cylon invented in my lifetime. Star Trek is just too far down the road for that.