You're throwing a lot of social issues that are not related to each other, and the roots for some of them aren't event related to money at all, such as substance abuse.

Crypto exist because there's a flaw in the fiat system, which is the lack of decentralization. There might be some side-effects such as an increase of transparency, etc, but it's not a one size fit all solution. Judging from your post, it seems 'safer' means that the number of crime and etc would decrease. I'd say no for that. There's no guarantee. But it will be 'safer' in terms of transactions security & decentralization.