However, 'aa' and 123 are not the same class. It's not necessary to take the whole steps of 'succ' and '=='.
Maybe it should check 'aa'.class and 123.class first, or use <=> instead of == to check, when 'aa' <=> 123 returns nil(== only returns true/false, no nil), the procedure breaks.
There is method Range#cover? for this. Range#include? is inherited from Enumerable module, so you are proposing to redefine it inside the class.
This being said, i also had a somewhat related proposal here: #5534. I suggested to basically treat Ranges as infinite sets, and define their methods accordingly. I think however that the "enumerable" part of behavior of range probably does not need to be changed.