Dave was a swipe at the "heartless" Republicans who didn't appreciate Dave's "jobs" plan.
The movie came out in May 1993 and the script would have been written some time before that.
The adultery theme is interesting in light of what Clinton got up to, but if the movie really were about Clinton, wouldn't the film makers have made their president more folksy and good ol' boyish?
I wonder if The American President two years later was really about Clinton, though -- a defense of his behavior against the puritanical Republicans, which turned his adultery into a widowed president having a girlfriend.
The movie that was possibly based on Clinton was called “Wag the Dog”.