Will you be alone with your kids on the trip? If so, I don't think it would be a good idea. The heat there is quite a bit to deal with and the length of some of the trails will be too long for a 11 month old to ride.
I would never discourage family fun or tell you not to attend a great event, but with this little of children, I'm not sure any of you would have any fun.
Besides, if there was any type of mechanical issue on the trail, it could be a very ugly situation.
Wife would be there. I'm not too worried about the 3-year old. But, yeah, feeding and pottying might be an issue for the young one.