A couple problems arise when using the jQuery browser detection, most notably the anti-pattern of using browser detection rather than feature detection, in addition to the fact that 1.9+ doesn't provide that functionality.
Perhaps, then, the solution I arrived at is a bit hypocritical, but it worked well and seems to adhere to most best practices today.
First, ensure you're using Paul Irish's conditional classes. Then, use something like:
if($("html").hasClass("ie")) {
$("label").click();
} else {
$("input").click();
}
Otherwise, I found the event would be double-fired in browsers such as Chrome. This solution seemed elegant enough.