We should oppose warrantless mass-surveillance of private financial transactions for the same reasons we oppose mass-surveillance of every one's private communications. The desire to live free from crime does not justify engaging in either.
I think most would agree, and that AML laws are only instituted due to:
1. the complexity of the subject matter obfuscating what these laws do
2. the euphemization of AML laws by the AML industry, like calling them anti-money laundering laws rather than the more descriptive 'financial surveillance laws', and
3. the stigmatization of money, as a result of the public relations efforts of the many who stand to gain from laws restricting people's ability to transact with it.
[1] https://www.reddit.com/r/MakerDAO/comments/de0sys/kyc_is_abs...
[2] https://www.coindesk.com/money-reimagined-ugly-side-kyc-aml-...
[3] https://twitter.com/SpencerKSchiff/status/125276128577685913...
What you are describing as a right: the ability to subject others to warrantless mass-surveillance, violates the core liberal principle of Western culture, namely the rights to privacy and the presumption of innocence.
And for good reason. There is no evidence at all that abrogating these core rights makes people safer, either from threats in general, or specifically from crime.