Can you explain a bit more about the need for the upgrade of the driver? Yes, Activiti supports Java 1.5 so including a driver that only runs on Java 6 would be an issue.
I can add some info here. PostgreSQL JDBC development made changes that are not backwards compatible, leading to problems in some cases. The biggest one is a change that makes 'UNICODE' and 'UTF-8' designations different, so database drivers before 9.1 may have incompatibilities connecting to 9.1 databases.
There is also a second issue involving bytea support which changed. (This is the use of hex encoding when entering in bytea data.