I wouldn't take them, for several reasons...
1) it's just too loud. Especially for such little ears. I suppose you could buy
them ear protection if you really want to make it work...
2) not much fun for the kids. I have taken my daughter to events that were designed for kids, and even then she gets sick of it after an hour or two... At that age, listening to music for a couple hours just isn't much fun. There is no interactivity, and even if you don't expect them to sit still, they still won't have much of an outlet for their energy unless you take them to the back and let them run around, which defeats the purpose of even going. (Though, you could take it in shifts if you really wanted to...)
3) not fair to other concert goers. I have been to several concerts where people brought children, and it always sucks to be the person stuck next to them. The kids are usually not interested in the music, and get upset. It is very distracting to be next to a parent hissing at their kid to calm down, keep quiet, just letting them whine, going back and forth taking them out to use the bathroom or calm down... I'm not saying that's what will happen with your kids, but with two that young, it's not likely to be a pleasant experience.
4) it sounds like you have a lot going on right now, and that you could probably use some adult time with your husband before making major changes that will require a lot of time helping your kids adjust. Jump on this opportunity!
To save money, I would pack a picnic at home, and eat it at a park before the concert. Then go to the concert, and stop for dessert on the way home. Sounds like a pretty great night to me. :)
I'm jealous, I love Jason Aldean. :)