Ok - here's the chick/mother's point of view. Don't bring your baby. As others have said, it is going to be incredibly loud and raucous that night. It's the opening game of the NFL season; it's a night game (on a week night when it's still "summer in NE" - add at least two hours for traffic before the game); they are raising the banner (making the opening ceremony, and therefore the game, that much longer); friggin Fraudger Goodell is supposed to make an appearance (and I and many of my closest friends will have on a clown shirt and the mood to match); even if you park "close" to the stadium, you won't be close to the stadium (and the closer you park, the longer it will take you to get out at the end of the game) - it will still be a big walk, and you will not be able to bring in a stroller, and probably not a baby carrier either (bag restrictions are enforced). Even a diaper bag may be a no-no (check ahead). You will be stuck in a relatively small space and there will probably be loud drunks right next to you or behind you. Both my husband and one of my kids have, at different times, been knocked down by a drunk lurching around in the concourse. I have been unintentionally stepped on and had beers spilled on me. It's not fair to your son, and you and your wife (especially her if you and your spouse are like me and my spouse) will be stressed out and won't enjoy the game, if you even get to watch it. My 52 year old kid (husband) won't go any more because it's too long of a day (and that's for a run-of-the-mill 1:00 p.m. game). I am sorry to be a Debbie Downer, but I know from whence I speak. The earliest I took my kids to a game was when my older 2 were 3. It was a pre-season game and we told them they had to walk a lot (no asking to be carried) and if anyone cried we were leaving. They made it to half-time (we only stayed while the starters played) and were good, but you can reason with a 3 year old (a little) and ply them with treats. Not so a one year old. They didn't ask to go again for a long time (i.e. it wasn't terribly enjoyable the first time). My brother brought my five year old nephew to the opening (1:00 p.m.) game last year. He (the 5 yr. old) wanted to leave at half time even though he is a big Pats fan. It's just too much for a little kid.
Reading through this you would think that a Pats game is the worst thing eva! It's not, if you are an adult. In fact, there is nothing better. However, you won't have the same experience when you are wondering if your baby is going to be all right. If you still want to go, keep trying on Ticket Master or if you have a friend who has access, the NFL Ticket Exchange. We use Stub Hub for extra tix, but I agree with those who have said this game probably won't drop in price.
I hope you and your wife make it to a game, either the opener, or perhaps one where you can leave the little one home. Go Pats!