The trick here is that you need to do this in tomcat. Since that is what is actually proccessing the request.
Since client auth is on a per connector basis you'll need to create 2 new connectors. One for the base SSL w/ auth, and one for the mod_jk connector (chosen ports arbitrarily chosen as cur+1).
<!-- Client Auth Connector on port 8444 -->
<!--
<Connector port="8444"
maxThreads="150" minSpareThreads="25" maxSpareThreads="75"
enableLookups="false" disableUploadTimeout="true"
acceptCount="100" debug="0" scheme="https" secure="true"
clientAuth="true" sslProtocol="TLS" />
-->
<!-- Client auth ajp connector on port 8010 -->
<Connector port="8010"
enableLookups="false" redirectPort="8444" debug="0"
protocol="AJP/1.3" />
Then just setup a secondary mod_jk worker to connect to the client auth SSL in apache for /myapp2