[S@NL - BlackBik]

I've found the problem and as I suspected it's in the style sheets.
I edited three style elements in quoteit_main.css and now the layout is acceptable in IE8, Firefox, Safari and Chrome.
Note: this what I found acceptable. You may not like it. So if you're going to try it out, make sure you back-up the original css file. That way you can always revert to the original style.

Here's what I've cooked up:

.quotetext {
	position: relative;
	margin-left: 10px;
	margin-right: 10px;
	z-index: 10;
	max-width: 55%;
}

/* IE ignores percent margins */
.openquote {
	position: absolute;
	vertical-align: super;
	position: relative;
	margin-left: -75px;
	right: 0;
	margin-bottom: -40px;
	z-index: 5;
	font-size: 7em;
	color: #E3E9F2;
	font-family: "Bernard MT Condensed", "ITC Garamond", "Trebuchet MS", Garamond;
}

.closequote {
	position: relative;
	vertical-align: super;
	margin-top: -10px;
	margin-right: 100px;
	margin-bottom: -40px;
	z-index: 5;
	font-size: 7em;
	color: #E3E9F2;
	font-family: "Bernard MT Condensed", "ITC Garamond", "Trebuchet MS", Garamond;
}