Hi Mark,
It is not possible to connect to two differnt .xml profiles from the same mahcine at the same time.
At a time only one profile will going to take precedence.
NOTE:- When the user chooses a server, AnyConnect uses the profile that server appears in. However, once connected, it uses the profile configured on that ASA.
Please check the following docs for more info:-
http://www.cisco.com/c/en/us/td/docs/security/vpn_client/anyconnect/anyconnect30/administration/guide/anyconnectadmin30/ac02asaconfig.html#pgfId-1111773
Regards,
Deepak Kumar