Is there something your wife cares about and does on her own? Running? Knitting? Scrapbooking? Welding? Try to make her understand that biking is for you like what her 'personal enrichment time' is for her. Look for ways that you can enable her to get a generous supply of time for her activity.

Also, what others said about teaching the kids to be more self-sufficient. You haven't said the age of your kids yet, but it was huge for us when we made them responsible for making their own lunches, and getting their own breakfasts. Also, lunches can be made the night before (by you late at night, or by the kids as a pre-bedtime ritual). Perhaps breakfast can be partially prepared the night before as well?

Maybe you can get yourself up to at least half time by driving in with the bike, riding home in the evening, riding back in the morning, and driving home.