@FormerCrimsonKing: So you pretty much say lets throw all the rules and lore of a verse away?
And if it's not magic they can't do anything about anyone on team 2.
So you're saying that only magic attacks work on team 2?
Ok, all of Ban's attacks are witchcraft techniques, a.k.a. "magic".
So yeah, he erases team 2 from existence.
Turn them to stone/make them believe that they are dead with the Jagan.
and Raitei, the electro-magnetic field around him is so strong that if you get near him, he can drag your soul away.
It was stated that when Lancer uses his Runes defensively he can block an High Phantasm (something like Excalibur), and Gilgamesh has at least that much defensive power. Hypnosis/mind control is not unheard of in the Nasuverse, and it is never a factor against Servants even for high level hypnotists/mind controllers. Anyway, I believe the first team should win, but only because of Former Crimson King.
"Just because you can negate the Jagan, it does not mean that you can negate the Jagan"
A guy that is immune to the jagan/illusions is effected by the Jagan, heck a guy that doesn't even exist got effected by the jagan.
And that's not the only power of Ban Mido, he can erase people from existence by using Vershwinde Geist. Or his Demon Arm that is outside of space-time.
Well, I'm not sure it would work on Gilgamesh. His mind was strong enough to easily fend off Angra Mainyu, which is a curse that represents all evils in the world (every evil thought or bit of hatred that humanity ever had).
As for Vershwinde Geist being able to affect them. That can be negated with Magic Resistance. Saber has the highest MR among the Servants, Gil can raise his MR to higher levels than Saber, and Rider's pegasus has MR exceeding even Saber.
Also, I don't see anyone on team one surviving Gae-Bolg (both Gil and Lancer have this) or Ea.