I have this same issue, except with a different setup than OP. I’ll post some random info below.
Distro: Arch Linux
Graphics Driver: nvidia 285.05.09 (going to upgrade to 290.10 after posting this. will update if this somehow fixes it)
> subl --version
Sublime Text 2 Build 2139
> uname -a
Linux viktor 3.0-ARCH #1 SMP PREEMPT Wed Oct 19 12:14:48 UTC 2011 i686 Intel(R) Core(TM)2 Duo CPU E7500 @ 2.93GHz GenuineIntel GNU/Linux
versions of packages for library deps
> ldd /opt/sublime-text/sublime_text | awk '/\=> \/usr/ { system("pacman -Qo " $3) }'
/usr/lib/libgtk-x11-2.0.so.0 is owned by gtk2 2.24.7-1
/usr/lib/libgdk-x11-2.0.so.0 is owned by gtk2 2.24.7-1
/usr/lib/libatk-1.0.so.0 is owned by atk 2.2.0-1
/usr/lib/libgio-2.0.so.0 is owned by glib2 2.30.1-1
/usr/lib/libpangoft2-1.0.so.0 is owned by pango 1.29.4-1
/usr/lib/libpangocairo-1.0.so.0 is owned by pango 1.29.4-1
/usr/lib/libgdk_pixbuf-2.0.so.0 is owned by gdk-pixbuf2 2.24.0-1
/usr/lib/libcairo.so.2 is owned by cairo-xcb-tee 1.10.2-1
/usr/lib/libpng12.so.0 is owned by libpng12 1.2.46-2
/usr/lib/libpango-1.0.so.0 is owned by pango 1.29.4-1
/usr/lib/libfreetype.so.6 is owned by freetype2 2.4.7-1
/usr/lib/libfontconfig.so.1 is owned by fontconfig 2.8.0-1
/usr/lib/libgobject-2.0.so.0 is owned by glib2 2.30.1-1
/usr/lib/libgmodule-2.0.so.0 is owned by glib2 2.30.1-1
/usr/lib/libgthread-2.0.so.0 is owned by glib2 2.30.1-1
/usr/lib/libglib-2.0.so.0 is owned by glib2 2.30.1-1
/usr/lib/libX11.so.6 is owned by libx11 1.4.4-1
/usr/lib/libstdc++.so.6 is owned by gcc-libs 4.6.2-1
/usr/lib/libgcc_s.so.1 is owned by gcc-libs 4.6.2-1
/usr/lib/libXfixes.so.3 is owned by libxfixes 5.0-1
/usr/lib/libXext.so.6 is owned by libxext 1.3.0-1
/usr/lib/libXrender.so.1 is owned by libxrender 0.9.6-1
/usr/lib/libXinerama.so.1 is owned by libxinerama 1.1.1-1
/usr/lib/libXi.so.6 is owned by libxi 1.4.3-1
/usr/lib/libXrandr.so.2 is owned by libxrandr 1.3.2-1
/usr/lib/libXcursor.so.1 is owned by libxcursor 1.1.12-1
/usr/lib/libXcomposite.so.1 is owned by libxcomposite 0.4.3-1
/usr/lib/libXdamage.so.1 is owned by libxdamage 1.1.3-1
/usr/lib/libffi.so.5 is owned by libffi 3.0.10-1
/usr/lib/libz.so.1 is owned by zlib 1.2.5-4
/usr/lib/libpng14.so.14 is owned by libpng 1.4.8-1
/usr/lib/libpixman-1.so.0 is owned by pixman 0.22.2-1
/usr/lib/libxcb-shm.so.0 is owned by libxcb 1.7-2
/usr/lib/libxcb-render.so.0 is owned by libxcb 1.7-2
/usr/lib/libxcb.so.1 is owned by libxcb 1.7-2
/usr/lib/libexpat.so.1 is owned by expat 2.0.1-6
/usr/lib/libXau.so.6 is owned by libxau 1.0.6-1
/usr/lib/libXdmcp.so.6 is owned by libxdmcp 1.1.0-1
hope this helps. If there is any more info I can give, let me know.
edit: just checked all my logs, in case something was complaining. No such luck.