Is the ALR hearing part of the criminal case?

No. A DWI triggers two legal issues. The main one is the criminal charge for DWI – this is “Travis County vs. You”. The second legal issue is the civil case for suspending your license – this is “DPS vs. Your Driver’s License”. The criminal prosecutors (County Attorney) do not coordinate with the civil prosecutors (DPS). Neither side cares what happens on the other side.