How to control size of list-style-type disc in CSS?

I have always had good luck with using background images instead of trusting all browsers to interpret the bullet in exactly the same way. This would also give you tight control over the size of the bullet.

.moreLinks li {
    background: url("bullet.gif") no-repeat left 5px;
    padding-left: 1em;
}

Also, you may want to move your DIV outside of the UL. It's invalid markup as you have it now. You can use a list header LH if you must have it inside the list.

Since I don't know how to control only the list marker size with CSS and no one's offered this yet, you can use :before content to generate the bullets:

li {
    list-style: none;
    font-size: 20px;
}

li:before {
    content:"·";
    font-size:120px;
    vertical-align:middle;
    line-height:20px;
}

Demo: http://jsfiddle.net/4wDL5/

The markers are limited to appearing "inside" with this particular CSS, although you could change it. It's definitely not the best option (browser must support generated content, so no IE6 or 7), but it might be the easiest - plus you can choose any character you want for the marker.

If you go the image route, see list-style-image.