cationic detergents and anionic detergents

Let's start with your first question.  Do you what a cation is versus what an anion is?

Yes, I understand one is positively charged and the other negatively charged. So they cancel each other out, but no other significant impact?

In an aqueous solution of a cationic detergent, what kind of intermolecular force stabilizes the positive charge?  How would this be different in an aqueous mixture of cationic and anionic detergents?

I am not certain of the answer to this myself, but I am happy to consider what might happen.  Have you thought about solubility?

I have not thought about solubility