I disagree with some of your post.
Yes, you should pay the necessities first: mortgage, car note, insurance, utilities, groceries, etc...
However, when it comes to credit cards and hospital bills, while you do have legal rights, they vary from state to state. No, they cannot threaten, harass, insult, etc to get you to pay more - that is illegal in any state and you can file a complaint with the state attorney general's office.
As a matter of fact, the NYS attorney general has cracked down on collection agencies in Buffalo and is in the process of closing them.
As for hospital bills, contact the hospital business office - they can usually make adjustments, payment arrangements, and sometimes even write the bill off altogether depending on your insurance/financial circumstances.
As for credit cards, again, make the minimum payment to the credit card company - if possible. If it is a debt collection agency, you can sometimes still make payments to the original company ( depending on how old the debt is) other times the debt may have been sold to the collection agency and therefore you are liable for the balance to the agency. Again, contact your state attorney general for the correct information on how to work with a collection agency.
Always keep track of payments made, who you talked to, when you talked to them, and what was said. If you can record the conversation - even better!
Finally, never, EVER rely on a "system" to clear up your credit! You hear advertisements for proven systems to reduce or eliminate your debt overnight - SCAM!!!!
If you ever see an ad for a "proven system" for anything - walk away -don't waste your money - the only one making money in that situation is the person selling the system...