You have so many troubles that I don't even know where to begin with.
First: Fonts mismatch. Tested on Mozilla 31.0 and Chrome Version 37.0.2062.94 (64-bit) on Ubuntu 14.04.
Check this out.
Second: where you have -webkit- prefix you also need prefixes for mozilla (-moz-), opera (-o-) and IE (-ms-). Otherwise it will work only in Safari/Chrome.
Also, specifically for the filters take a look at this answer (mozilla has issues with filters.)
Third: You have files that are NOT found. As in css files.
Forth: Check your modernizr. It's somewhat outdated. Can be a source of issues.
Fifth: Your css is not executing well (at all), check it for errors.
Sixth: css Hyphens require prefix (-webkit-, -moz- and etc. It's probable that this breaks your css and your site)
PS: Still looking for more mistakes.
EDIT:
Explanation on prefixes.
Fonts:
They appear different, but that can be because of the size. Also I see it all in lower case. Probably the least of your problems and it will probably be resolved upon fixing the rest.
CSS:
The file col.css
is included, but not found on the site.
Modernizr:
Yoiur version is Modernizr 2.5.3. The current newest version is 2.8.3. For reference Modernizr 2.6 came out in 2012. You can check their site.