This issue is about the current procedures for ticketing/towing cars - and the appeals process - as opposed to the ability of the city to ticket and tow cars.

Surely you're not suggesting that the city shouldn't be able to ticket and/or tow cars if they are in violation of a parking/traffic law. In which case, you should specify the exact case(s) in which cars (property) have been unjustly ticketed or towed (ceased) so that those specific procedures can be addressed.

I personally disagree with the procedure for the notification of street cleaning days and towing - I think that the city should have permanent signs on road sides that detail exactly when those streets will be cleaned (e.g., 2nd Monday of the months of April, June, August, and October). I think that 48 hours notice is sometimes not enough for residents to realize that street cleaning will occur (e.g., if they go on a vacation for a few days).
However, even though I disagree with this particular procedure, I do not think that the city does not have a right to ticket/tow my car per se.

In any case, your assertion that the city's policy favors the wealthy (as they have driveways) is easily countered by the fact that the value of property (and thus the taxation rate) is increased when there's a driveway. Also, the proposed new Storm Water tax will apply to properties that have driveways.