Misargument

should not merely try to establish our own opinion dogmatically and historically, and content ourselves with exposing and refuting the misstatements and misarguments of our erring brethren:

Source: wiktionary

to be in doubt whether a paper written in defence of Christian doctrine, has not in itself afforded a handle to infidel misarguments.

Source: wiktionary

1977, Oak Ridge Bicentennial Lectures: Technology and Societyhttps://books.google.com/books?id=I5IBHNg0C5AC&pg=PA62&dq=%22misarguments%22. Questioner: Your comments about Arthur Kantorwitz's court and the arguments before or perhaps the misarguments before it reminded me of what we might get in the campaign for election to build an elected scientific priesthood.

Source: wiktionary

The author of the Topics teaches generalities about the forms and ingredients of arguments and misarguments.

Source: wiktionary