Fact: a newborn will force changes in your routine(s). Whether or not it's your bike commute is largely up to you and your wife/family to decide. It's just something every household has to figure out for themselves. However, with the added responsibilities will come change.

I've signed the congrats card for those with newborn's the following way for years; Now you'll truly know what it's like to sleep like a baby, up at midnight, up at 2AM, up at 4AM, up at 6..

My kids are older. The only hindrance for me is the time allocation for packing clothes and making lunches for everyone (my wife is disabled). I do most of it at night before retiring for the evening. It makes the mornings simpler.
You'll adjust to your routines, whatever they end up being.