Cannot really help with the Honda 'offering'. But, if I were to add a bluetooth kit, then with a doubt I would go for a 'Parrot' system.
I have one fitted in my current car (Golf MK5), it has a small LCD screen, which shows (and announces) the incoming call, allows me to dial, as well as voice recognition. When I call people, they very often are completely unaware that I am in the car. The sound comes throught the car stereo speakers as well
I bought mine myself and fitted it to the Golf for only £99.
See here for details.
They do loads of different types, but I have the 3100.
Seriously, I would love to get a Honda top-tech guy in my Golf, and show him how a Hands free kit should work - He would hang his head in shame.
The only issue I could see is that there may not be a Civic adapter yet for the wiring to the back of the stereo, but any audio installer could 'splice' in. I was being quoted fitted costs of £150 when I asked.
May be worth considering as a Honda alternative.
BTW -- I do not work for, or get commission from Parrot - Just happy to recommend a top peice of kit.