@Karen Dancheck , I would definitely bring an ATM card. I personally can't think of a reason to leave it at home, but I'm sure you have a good reason.
Since I need to bring other valuable things like my passport, including an ATM card isn't a big deal to me. Again, I understand you have your own concerns though.
There are stories of certain ATMs not working with certain debit cards, but there are just so many ATMs in the Jakarta airport that I'm not sure people find this a showstopping problem. I've used both BNI and Mandiri ATMs without problems.