The treatment for childhood Hodgkin's disease does not "kill your immune system". If it did, every child treated for Hodgkin's would require a bone marrow transplant.
Chemotherapy temporarily suppresses the function of the immune system by killing the more rapidly dividing cells in the body. Fortunately, the immune system is more resistant to this effect than cancer cells and, in the end, a success leaves the patient with a live immune system and a dead cancer.
Putting a hip to ankle cast for a broken thigh bone on a patient completely takes away the ability to walk while the cast is on and the the leg loses a significant amount of bone and muscle mass but that does that mean that putting on the cast is equivalent to "killing your leg".
If you are going to debate your points, at least do it without falsifying what is actually going on.
There is nothing "traditional" about modern medicine. It is constantly changing every day as new data shows what works and what doesn't. What does not work is discarded. What works is kept until something better comes along. The only constant thing is change.
"Traditional" medicine is doing something simply because some Mexican Indian tribe has been doing it for 1,000 years and you claim it works because they told you so even though you have absolutely no outcome data to support your claims.
The success rate for the current medical treatment of childhood Hodgkin's disease is over 90%.
What therapy would you recommend for childhood Hodgkin's disease and what is the documented success rate of your treatment recommendation?