Will a BS in Wildfire Sciences help me get on a fire team?

Go find your local NG firefighting team and ask them what they are looking for.

You are really asking several questions and not very good. Not much of a packet needed to fight fires with the NG, more of right time, right place. Aviation, like to be a pilot? They still have high school to flight school so a BS is not necessarily required. Please give it some thought to what you really asking so we can better help and answer.

I don't know if you necessarily need all that. My experience was this. I enrolled in a basic wildland firefighting course at the local college and was immediately placed on a hotshot crew. I think all situations are different. I don't know enough to speak intelligently about how the NG operates. I would assume it is a secondary duty during wildfire season. I would believe that different national guard units are trained in wildland firefighting to include some of the aviation units. Then they go do their regular missions after fire season is over. I would research into NG units that have done that mission and ask them. You pursuing a degree in fire science and having experience in it at some point should always help you in achieving your goals further in whatever fire service you choose. Best of luck in your future endeavors