Washing up liquid [LIFTED] up your car in many ways:
The surfactants in washing up liquid aren't designed to get your windscreen clean or degreased. Chances are they'll knacker your wipers prematurely or damage the seals prematurely.
So, washing up liquid we've got salt (rust's best mate), surfactants (wetting agent will help water get behind seals, get under poor paint finishes taking the salt with it), formaldehyde (perishes rubber), sodium lauryl sulphate (from animal fats that'll stink after long enough).
Given that you can buy a 5 litre bottle of concentrate screen wash for about £3 near me, I don't think it'll break the budget of running the car, tbh.