They sell alot of different glues and adhesives (JB weld,etc.?) that are said to be better then a weld, Id consider doing that. You wouldnt need to mess with welding and possibly blowing a hole in your door.
What do you mean by a Arc welder, do you mean Mig or Stick. If you mean stick welding please do not use that method.
Good Luck! Post some pics when done.