If I were to attempt this, this is what I’d do:
Stabilize the motion of my clip. Repeat as needed until the clip is totally stable.
Duplicate my footage as many times as needed on the timeline, with short dissolves between each instance to disguise the fact that we’re joining multiples.
Now, if I needed my footage to be jittery again, I’d shoot four minutes or so handheld of a white dot on a black field and motion track my road footage to it.
In theory 🙂