How old are your kids? I've found that in early childhood, the Dad is pretty much in the way, and can easily become bored since he has no role that fits his "skills". When the kids get a little older (approaching 10) the father takes center stage and the mother recedes to the background. At this age, parenting is downright "fun" for a dad. Stressful, but "fun".
You missed watching Godzilla® movies and wrestling in slow motion with your kids when they're 4 or 5? And teaching them to melt plastic army men with a magnifying glass? And giving lessons on how to approach and treat animals? A lot of fun stuff comes early on. If you wait until they are 10 you miss it.