We are TV free in this household. Well- it isn't connected to a receiving aerial, and hasn't been since I was 8 mo pg. We do own one, as we have an extraordinary number of games consoles- Dh's and mine I stress- dd being 20 months. We watch DVDs occasionally, but I'd say neither of us miss it. We don't subscribe to the cult of 'celebrity' in this country (UK) so never watched much TV anyway (mostly CSI, Green Wing, and Newsnight Dh anyway).
I think we'll probably get it connected when she is about 4 or 5, as I don't want her to be stigmatised at school for not being 'up' on popular culture, though she shows little interest when we visit granny's and the TV is on.
Recent studies have shown TV watching in under 2s to be detrimental, and this includes DVDs computer use etc. So I feel we made the right decision. We don't let her see us play games for more than 5 mins per week (but she does love to watch Mario & Donkey Kong!).
We are the only TV -free family we know- all the other mums at post-natal and baby groups thought I was a freak for this, most could NOT understand how I coped, in terms of occupying her all day . These were without exception middle class, well-educated women, but all of them used the TV as a means of subdueing/occupying/entertaining their babies (this was before 12 months)
I will admit that dd never got up before 7am more than about 4 times in her whole life (after the initial feeding every 3 hours thing), so I do appreciate that I have not had to entertain a baby from 5:30 every morning. I did however bf her exclusively, and we didn't drop night feeds until around 11 months, so I wasn't getting any more sleep than them.
Dh and I do spend a fair amount of time on our computers/online but I read an awful lot of books too, always have had. Plus, we save 125pounds per year licence fees. We listen to the radio a lot (radio 4) and frequently had it on 24 hours a day when she was tiny, as I found it helped me to 'switch off' and go to sleep when I was worried about her (pfb LOL).
Why don't you have a trial period without it, or keep a family diary of what you watch for a week, including whether or not you thought you'd wasted the time spent watching a programme IYSWIM?