I'm going to make a broad statement and assume I'm pretty accurate here. You will find the dads here, who actually took time to create a login in and post on a message board about being a dad, to be very involved.
Me personally, I'm very involved. We have a 23 month old and I change diapers, give baths, feed him. I watch him 2 days a week by myself (Wednesday and Thursdays), which has me taking him to the dentist, doctors appointments and the like. I am involved equally with all major, and most moderate, decisions when it comes to him.
Back when our son was little, I would take the entire overnights on my days off, so at least 2 nights a week my wife wouldn't have to get out of bed all night. I do a lot around the house... laundry, dishes, some of the meal prep, vacuuming. The only household task I don't really get involved with is the deep cleaning of the bathrooms.