I think you can have a great trip to Alaska with the family. It's true that Alaska seems a bit on the wild side at first, but I have two things to say about that:
1) That's the beauty of it!!!
2) You can plan your trip in a way that suites you. There are many ways to enjoy what Alaska has to offer and you can decide on the activities you partake in.
Here is a great site on Alaska. It has maps, tips traveling ideas and lots of more information you can use in planning your trip.