As far as I'm aware, anyone over the age of 18 can be sued for causing injury to someone else or damage to their property.
There's nothing to prevent any person for taking out some sort of third party insurance in case of such an event.
In practice, however, it is far more likely that an arrogant cyclist will cause extensive damage to others and their property than an old lady on a mobility scooter.
Another practical element is that such an old lady is not going to speed away from responsibility after an accident than is an arrogant cyclist.
Small claims court is indeed an excellent place to gain recompense for damage caused, I almost brought it up myself.
However; you are presenting a biased likelihood based on your opinion with no statistical backup.
Therefore all groups could be treated on potential, which is extreme if taken to the nth degree.
If you hate only the arrogant, are the non-arrogant cyclists to be spared?
Or are the many paying for the sins of the few?
In that case;
some young people are criminals, lets lock up all under 25's,
some elderly are infirm and mentally unstable, let's put them all out of their misery at 65,
some men are rapists, let's chop off everyone's cock,
Etc etc. Seems rather disproportionate? That's because it is.
Although these examples are sarcastically extreme, it shows that a disproportionate solution cannot be so broadly applied without coming across as mental.
Next argument for persecuting only cyclists?
If instead you feel that all road users should wear numberplate identification...