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Are Cryptocurrencies And Blockchain Technologies The Next 'Industrial Revolution'?
All legal problems derived from cryptocurrencies are present in traditional cash, and for the same reasons. This isn't specific to cryptocurrencies.
If anything, using a cryptographic ledger would help with preventing illegal uses of money: one can monitor the exchange of assets and track where money goes on the ledger; this can't be done easily with physical cash.
The potential illegality should not be held as an argument against cryptocurrencies; there are illegal use cases for cash, as well as for less innovative things like a stone or a car. We don't ban cars, despite the possibility to cross the speed limit.