No you aren't alone. I'm a little like Meredith, though - my husband sometimes feels this way more than I do. (Years ago, before kids, we had a private joke from a valentine greeting that went "I love you so much. In fact, after the cats, honey, you're number one!")
Now he sometimes jokes that he feels like he's after the kids, after the cats, and just just barely keeping ahead of the Roomba! But seriously, when there's a new baby, everyone is usually stretched thin and stressed out and it's a long time before it gets easier.
Babies *do* need a lot of attention, and no doubt having a parent (or two) that loves them so ferociously that everything and everyone else pales in importance has helped the human race survive. But it certainly puts strain on a marriage. You've gotten some good advice about getting some "alone time" or "date nights". (Although even on date nights, we find ourselves talking about the kids. Or googling the cute baby at the next table.) As the children get older, things usually do get better, and just knowing that might make things more bearable. And there's always counseling. My best friend went through some marriage counseling about a year ago, and they're doing much better these days.
It could be a lot worse - I actually have a friend who's husband thinks it's funny to say "Well, you're the one who wanted to have kids" when their autistic son acts up in public. He says this in front of friends (who inevitably start to squirm) and in front of his son, who's old enough to understand it. (He was 6 last time I heard it.)