I don't think FTP would be the appropriate protocol... I would accept SFTP, SSH, HTTPS, but nothing non-encrypted.
The problem that stays is extra support skype needs to bring for supporting those protocols! Why not download your profile yourself BEFORE starting skype, and upload it yourself if you think you made important changes AFTER you finished your skype session?
You could even write a wrapper script that would do the work for you!
Here a simple example suitable for Linux and probably also Mac:
CODE
#!/bin/sh
cd
# Next line assumes you use key without passphrase for auth
# but you may ask password via dialog!
scp user@server:/Skype-profile.tgz Skype-profile.tgz
rm -rf .Skype
tar -zxf Skype-profile.tgz
skype
tar -zcf Skype-profile.tgz .Skype
# Same criteria as a few lines above!
scp Skype-profile.tgz user@server:/Skype-profile.tgz