I've never been one to sit inside and lift weights, always opting for Mt. Biking, climbing, skiing, etc...(having wrestled in highschool and college, I'm pretty sick of being indoors).
That said, when my wife and I found out we were to be parents I put my health on the backshelf and spent my day worrying over financial matters instead. I put on about 30 lbs and was, for the first time in my life, what I would call overweight.
I started commuting again and it all came right off. I do about 35 miles per day, and always do crunches and pushups, too. I try to get 200 pushups a day in, and 200 crunches, but I'm almost always below that mark.
If I were doing your commute I would make sure to either do long weekend rides or a couple long rides during the week before or after work and call it good.
I don't like lifting weights, don't think it's necessary, and neither did Hershel Walker!