I'm no expert but your licenses demands things are free and non-commercial which isn't a restriction of the GPL so in that sense it wouldn't be compatible with the GPL which very intentionality doesn't make that demand.
In addition, you want people to be able to re-license under other licenses, but presumably you want to retain the not for profit type clause so that's not going to work as either it's licensed under the other license (in which case making money is likely an option) or it's under your license.
It sounds to me like you want an Open Source license that isn't actually that open at all in that you want to restrict for profit use of your work.
Personally I think the first thing you need to do is work out whether you're open or closed as at the moment you're half and half and that's what's causing problems as it's not an easy partnership.