Warning: This guide might break your system!
Some quick notes below based on your feedback. I havent had any time to go through this in detail.
Also check this guide for installing on 32bit system: http://www-10.lotus.com/ldd/dominowiki.nsf/dx/Notes_8.5.3_FP2_on_Ubuntu_12.10
Extract installation files to current folder and modify them according to previous guide: https://usablesoftware.wordpress.com/2012/05/04/install-lotus-notes-8-5-3-on-ubuntu-12-04-64bit/
Here comes the installation:
sudo apt-get install libgnomeprintui2.2-0 ia32-libs ttf-xfree86-nonfree t1-xfree86-nonfree xterm
sudo dpkg -i getlibs_2.06-0ubuntu1~ppa2_all.deb
mkdir /usr/lib32
sudo getlibs -p libgnomeprintui2.2-0 libgnomeprint2.2-0 libgnomevfs2-0 libgnomeui-0 libxkbfile1 libstartup-notification0 libsepol1 libselinux1 libgsf-1-114 libgsf-1-dev librsvg2-2 librsvg2-common libavahi-client3 libavahi-common3 libavahi-glib1 libbonoboui2-0 libcroco3 libdbus-1-3 libdbus-glib-1-2 libgnome2-0 libgnomecanvas2-0 libgnome-keyring0 libgnome-menu2 libesd0 gtk2-engines libgnome-desktop-2-17 libmotif4 libavahi-glib1 gtk2-engines-oxygen gtk2-engines-qtcurve gtk2-engines-murrine gtk2-engines-equinox alsa-base alsa-utils iproute liborbit2 libbonobo2-0 libgconf2-4 libx11-6 libxt6 libxext6 libc6 libgcc1 libgtk2.0-0 libxkbfile1 libglib2.0-0 libstdc++6 bash libart-2.0-2 libpopt0 libgnomeui-0 gnome-keyring:i386 libjpeg62
ln -s /usr/lib/i386-linux-gnu/i386-linux-gnu/* /usr/lib32
dpkg -i ibm-lotus-notes-8.5.3.i586.deb
dpkg -i ibm-lotus-sametime-8.5.3.i586.deb
wget https://github.com/sgh/lotus-notes_gtk2.23.3/raw/d3492c997bc7a92b895fa1369d4743a8e20b56b5/Makefile
sudo apt-get install g++-multilib libgtk2.0-dev
sudo sed -i ‘s/gcc -Wall -Wextra `pkg/gcc -Wall -Wextra -m32 `pkg/g’ Makefile
make
sudo cp notes-wrapper libnotesgtkfix.so /opt/ibm/lotus/notes/
chmod 755 /opt/ibm/lotus/notes/notes-wrapper
ln -s /lib32/i386-linux-gnu/libpopt.so.0 /usr/lib32/
wget http://www.benkevan.com/upload/lotus_notes/libgdk-x11-2.0.so.0
wget http://www.benkevan.com/upload/lotus_notes/libgdk_pixbuf-2.0.so.0
wget http://www.benkevan.com/upload/lotus_notes/libgdk_pixbuf_xlib-2.0.so.0
wget http://www.benkevan.com/upload/lotus_notes/libgtk-x11-2.0.so.0
sudo mv *.so.0 /opt/ibm/lotus/notes
ln -s /usr/lib32/i386-linux-gnu/libgnomevfs-2.so.0 /opt/ibm/lotus/notes/
ln -s /usr/lib32/i386-linux-gnu/* /opt/ibm/lotus/notes/
ln -s /lib32/i386-linux-gnu/libpopt.so.0 /opt/ibm/lotus/notes/
[Update]
Updated after testing guide on a freshly installed Linux Mint 14 64bit