Does delaying the removal of a Qur'an, a verse from the Qur'an, and prayer beads hanging in a car that is exposed to collision take a Muslim out of the fold of Islam?

There is no disrespect to the Holy Quran in what you mentioned. Its impact in the car due to its movement is not considered disrespect. The same applies if it were in a pocket or a bag, where the same thing could happen to it. We advise you to stop thinking about such matters, lest you open the doors to obsessive whispers (waswas).