Elijah is a [censored]. If Hardin was in power, he probably have the Brotherhood retreat and launch a counter offensive...Helios one is barely protected after the battle with NCR troops, probably 2 paladins could take them all out. NCR troops are fat and lazy compared to the brotherhood, with the exception of Rangers.
I think you're getting a little confused with your brotherhood elders
(Think I know what that censored word was, certainly doesn't apply to Elijah I'm afraid, with the exception of House, Elijah is the smartest, most dangerous man in FONV)