Gordon Freeman vs. The Doom Dude--With a Twist!

Okay, rather than having Gordon Freeman and the Doom Dude just fight each other, how about this:
In Doom 3, the Dude finally gets to the Teleporter in Delta Labs. After Betruger sicks the Bruiser Bros. (Twin Hellknights) on him, The Dude easily dispatches them using the BFG he found in a Security Office earlier.
Mean while, in Half-Life, Gordon Freeman has fought through a similar scenario. Reaching the Main Teleporter at Black Mesa, he defends Dr. Eli Vance (I guess, the only character in HL2 who really looks like someone in HL1 is Dr. Kleiner) from a mess of flying alien monsters. After Dr. Vance opens the portal, Dr. Freeman enters.
At that moment, as both teleporters opened in their respective games, the paths were criss-crossed. By complete and accidental error, Gordon ends up in UAC complex, and The Dude ends up at Black Mesa.
Here are the fights:
1. Could Gordon Freeman manage to fight Hell itself in Doom 3?
2. Could the Doom Dude do the same on Xen?
3. After they both complete their wars, the CyberDemon and the Nihilanth pit the two FPS heroes against each other. Who wins that one? However, in this one, The Dude isn't allowed his BFG, Chainsaw, or Plasma Rifle, and Gordon isn't allowed his crowbar, or any of his beam weapons.
4. After one wins, he quickly realizes his error, and heals the other. Then, they both turn on the Nihilanth and the CyberDemon. Can the FPS heroes beat their final bosses?
(And the reason I don't include the Chief in this, is because HL1 and Doom 3 have very similar stories)
In Doom 3, the Dude finally gets to the Teleporter in Delta Labs. After Betruger sicks the Bruiser Bros. (Twin Hellknights) on him, The Dude easily dispatches them using the BFG he found in a Security Office earlier.
Mean while, in Half-Life, Gordon Freeman has fought through a similar scenario. Reaching the Main Teleporter at Black Mesa, he defends Dr. Eli Vance (I guess, the only character in HL2 who really looks like someone in HL1 is Dr. Kleiner) from a mess of flying alien monsters. After Dr. Vance opens the portal, Dr. Freeman enters.
At that moment, as both teleporters opened in their respective games, the paths were criss-crossed. By complete and accidental error, Gordon ends up in UAC complex, and The Dude ends up at Black Mesa.
Here are the fights:
1. Could Gordon Freeman manage to fight Hell itself in Doom 3?
2. Could the Doom Dude do the same on Xen?
3. After they both complete their wars, the CyberDemon and the Nihilanth pit the two FPS heroes against each other. Who wins that one? However, in this one, The Dude isn't allowed his BFG, Chainsaw, or Plasma Rifle, and Gordon isn't allowed his crowbar, or any of his beam weapons.
4. After one wins, he quickly realizes his error, and heals the other. Then, they both turn on the Nihilanth and the CyberDemon. Can the FPS heroes beat their final bosses?
(And the reason I don't include the Chief in this, is because HL1 and Doom 3 have very similar stories)