iPad gets the (mostly) full site, right? It's not optimized for touch. Those dropdowns are supposed to open on mouseover. Don't tap on them. Try to get it to recognize a mouseover without recognizing a click.
I'm not sure how you'd go about doing this iOS, so experiment. On Android depending on the browser you can touch the element and then move your finger away, or hold it until the context menu pops up and then dismiss the menu.
For those that want the app to other things besides video, I am working on a Giant Bomb app that will hopefully do whatever you like. There's also an older app available on the store called Giant Bomb Beta. It's no longer receiving regular updates, but it works.