ISO 9141, LIN Bus, K-Line compatibility
I found your comment while looking for questions I had myself about ISO-9141-2.
ISO9141 and LINbus are very similar standards, in fact the LINBus standard specifies that it uses a modified ISO 9141 transceiver (how it's modified I don't know).  From what I understand K-Line is just a different name for ISO 9141.
The L9637 I think will work but there could be edge cases where it won't.  I you can, chat with the manufacturer's technical support personnel.  I think I've seen LINBus devices using L9637 but I can't be sure.
This project:http://www.obddiag.net/allpro.html is using a LINBus transceiver for communications with ISO9141 so it must work to some extent.
Hope that helps.