It appears that the only way around this issue is to actually mount the partition at boot using fstab.
For example if sda1 is the partition you want to mount and it's a windows partition formatted in NFTS you would do something like this:
Type mkdir /home/altiar4/Windows
Type sudo su
Type echo "/dev/sda1 /home/altair4/Windows ntfs defaults,umask=007,gid=46 0 0" >> /etc/fstab
For other examples please read Auto Mount Partitions at Boot
This will create a folder named "Windows" in your home folder into which partition sda is mounted. It will be accessible by altair4 ( in this case ) with read and write permissions and it will never ask for authorization.
I don't know why Ubuntu did this and I don't know if the Mint folks can easily restore this functionality but there is a way around this design decision.