Citation please? Last I checked people get charged with things they didn't do, or weren't responsible for, in just about every system of justice - that's why we have courts.
This leads to the other issue of your service being cut...
Is this not the case, or is it not a black/white answer?
Tor's anonymity depends on distributed control of its nodes. If one entity, say a government org, controls a large portion of entry and exit nodes it may be able to trace some requests. That's an attack that has been known since the beginning though, it's not new.
Tor is just a proxy. A fancy proxy that uses onion routing, but a proxy nonetheless. Think of it as a CDN that does not have to hand over customer details because they have plausible deniability about who you are. Unlike commercial CDN's however, Tor does not try to prevent hacking. That exercise is left to the people running the servers that Tor is routing to. As it turns out, some criminals may be lazy or inept.
You shouldn't run exit nodes from a home connection due to possible abuse. If a person uses it to do something illegal you may end up with law enforcement busting down your door. Relays are safe though.