In general I think biking has made me a slower driver on secondary roads and city streets but not always a better driver. I seldom drive in the city so I get frustrated in the car- I can get there much faster on the bike. Most of my driving is highway/freeway driving and since I don't do that on the bike my habits are pretty much all car related.
I do sometimes forget that I've driven and have come out and looked for my bike thinking it's been stolen before I realized I drove- then I have to remember what I did with the car?!