You’re right that these are pretty common arguments, so there’s plenty of rebuttal available.
However, I want to point out that for a great number of people here, there isn’t really going to be much interest in “creating a compelling case” for the Constitution in any real substantial sense. For a relatively quick reasoning as to why, see here.
That being said, various historians have done some good work on this, most notably Tom Woods and Kevin Gutzman. I definitely recommend checking out their works, in particular,
The Politically Incorrect Guide to the Constitution
Tom Woods’ Liberty Classroom offers excellent course that cover the subject as well.
And here’s a playlist of good videos.
For some specific info, see these posts:
Some Guy: Ron Paul Doesn’t Know the Constitution
Iowa Teacher: Ron Paul Doesn’t Know Constitution
Leftist Tries to Take Down Ron Paul on Constitution
This Is How You Do a Radio Interview