Some things are worth vaccinating against.
I would go with MMR and Polio off the top of my head.
Some are not. I'll go with chicken pox and influenza. Don't want scars from chicken pox? Don't scratch them. Don't want the flu? Practice good hygiene and you are less likely to catch it, especially if you have a decent immune system.
For the most part though (barring immune deficiencies issues), the best way for the human immune system to become stronger is PRACTICE, PRACTICE, PRACTICE. Children are supposed to get sick (within reason). It makes them healthier adults.
Honestly, the whole "anti-bacterial" craze, is humorous to me. Sure, proper hand-washing is the easiest way to combat the spread of most germs. So is keeping your hands out of your mouth and nose, covering your mouth when you cough/sneeze, things that we are all taught as kids (most of us, anyhow), but I can't keep myself from chuckling when I go to the grocery store and see the "handle wipes" for the cart and the gallon pump-jug of hand sanitizer. When I go out in public and touch doorknobs/shopping carts/etc, I wash my hands before I eat or touch my face. It is common sense.
By the same token, when I go to the nursing home to visit my grandfather, I can see the need for the hand-sanitizer stations strategically placed throughout the building, starting as soon as you walk in the door. I see a lot of folks use them on the way out "because of the germs", but in actuality, they are supposed to be for when you come in. It makes sense as I am entering a building full of elderly folks that are more likely to have a compromised immune system in their advanced age. They are more likely to become ill from something that I bring in with me than I am by catching something while I am there.
Now at hospitals, I use them on the way in for courtesy and on the way out because hospitals, by nature, are full of germs.
I think the tendency to vaccinate for everything under the sun and to do it all at once is a bit extreme. I also think that it is not the best idea for children that are still developing.