Eve online works perfect in Wine. as you can see here : http://appdb.winehq.org/objectManager.p ... ngId=76283
It recieved Silver ratings in most casing and gold in 12.10 which is what mint kernel is based on.
Your options are 1 of two :
1. You can through that page, find your errors and read how to fix them.
2. You do as i suggested the first time around and install 32bit mint and then install wine and Eve and you should have it working in just a few clicks.