Braces will always help you to have a permanent solution to your anterior overbite.
However if the line of treatment doesn't seem feasible to you, there are other ways to restore your anterior bite.
Secondly, Removing all molars must have had been advised according to your dentition and with braces being the treatment in mind. If you don't want to wear braces; removing the wisdom tooth causing trouble and the wisdom tooth opposing it would be sufficient.
It is necessary to remove the opposing wisdom tooth as it would start over hanging/ supra erupting within a short span of time after removal of the lower wisdom tooth.
Next Steps
Let me answer your questions in a proper consultation session. I believe your doubts would be clear after that.
Good day.