Reiner:
Dont know why you are asking regd Part 61 since as far as I know type rating orgs are under Part 142 i believe of the FAA FAR. In basic flight training you either go thru Part 141 (usually accredited schools that are authorised to do their own checks e.g. Flight Safety) with an approved FAA syllabus or the the Part 61 used to apply to the less stringent modular schools.
I too am considering Aerosim for early 2012 after a long search (they used to be Comair BTW) since they are tops in the CBT/sim prep business and their syllabus is more geared towards first time jet training.
Why dont you contact Julie at Aerosim (their A320 specialist) to see if your experience is acceptable to them.