You do need a desktop environment to run the GUI wallet, console based version hasn't been made available.
If you install the myriad of packages required to run a X server you then need to ssh -X user@host, export DISPLAY=:0.x variable where x is your display identifier and once you run ./FindCoin-qt its window should appear on your screen. Note if your ssh connection drops the FindCoin wallet will either freeze or close after a while.

BTW it's against all common sense to run pre-compiled binaries fetched from the internet as root. You do not need to run the wrapper as root, if you're missing some libraries you can either synlink or copy the libs from the FindCoin/Lib directory to /usr/lib/ as root then run FindCoin-qt as unprivileged user. Although even the supplied libraries with the wallet cannot be fully trusted and they can be installed by your OS's package manager.