I think that remark was made in jest. The only part that would have any use in any kind of welder is the power transformer, and it would require a lot of work.
The transformer has a 120 volt primary, a 2000 volt low current secondary, and a 3 volt high current secondary. The only way I think of to make a "welder" out of one would be to strip off all the secondary windings and rewind a new secondary with #12 or #10 insulated wire. This would make a high current secondary at anywhere from 5-15 volts, depending on how many turns of wire could be worked around the old secondary's bobbin.
All you would have would be something like one of those "buzz boxes" that are nothing but a couple of heavy nichrome resistance wires between the power cord and the welding cables. They are really crappy and hard to use. It's hard to strike an arc and sustain it.
The oven's transformer core and primary winding are only good for 1500-2000 watts of power, max, and that's a transformer from a 1000 watt or higher oven. The transformers in ovens are a lot smaller that what is used in any transformer-based arc welder.
Bad idea.