They're not trying to transfer ownership. They're trying to scam people out of the earnest money before a title search (ie ownership verification) happens.
Titles are very decentralized; they are likely modestly-competently managed at the county level, of which there up to 254 per state (Texas).
And identity theft is also very easy in the US. It happened to an old in my family. The state dmv happily mailed a replacement license to a completely different state without so much as checking with the person whose license it is. Just for the asking. It's absurd.