No, these goals are compatible but it will be a challenge to manage the time and energy requirements and not drive yourself into the dirt. Josh’s rack plans are strictly training for rock climbing with no endurance or auxiliary strength work. So they’d be pretty easy to mesh.
Steve’s Eiger or alpine rock plans involve a decent dose of aerobic base training and supplemental strength work. So, combining Steve’s plans with the 24 week expedition plan is going to require some more time and trouble to mess them well. You will need to TP premium account so you can go in and modify these plans and over lay them etc.