Hi, Wendy.
Your story is so sad. My heart breaks for you and your family. Alzheimer's is awful at any age, but even worse when it hits someone so young.
I don't think it's necessary to take your sons to visit your mother if she doesn't even know who they are. It would be stressful and expensive for you, wouldn't mean anything to her, and would probably be upsetting for your boys.
The important thing is probably to try to figure out if it would make you feel better to visit her yourself, even if she doesn't know you. If she were to die without your seeing her, would you regret it? There's no right answer; it all depends on what would make you able to deal with her death when the time comes.
What a terrible thing to live your life with the threat of early-onset Alzheimer's hanging over your head, and not being able to fully enjoy your youth because of it. In your situation, I don't think I'd want to know, but you never really know how you'd react until you're in the situation yourself.
The first thing I thought when I read your post is that you really need to get some counseling to help you come to terms with all of this, and especially with your uncertainty about your own future.
Do you have health insurance that would pay for counseling? If not, you might talk to someone at your local Alzheimer's Association and see if they can recommend a counselor who would only charge based on your ability to pay.
If we can help you here, we certainly will, but I hope you will consider counseling. This is something that would be difficult for anyone to handle alone, and you need to find a way to enjoy your life without the constant dread hanging over you.
My heart goes out to you.
Carol