The other option would be a Coolness Under Fire modifier. -1 for bullpup, -2 for battle rifle... This would allow the character with the more handy weapon a better chance of getting off the first shot by increasing hesitations for those with bigger guns.
Slightly more advanced would be to have the players do a roll off v. Cool to see who gets the first shot in close quarters. Have the two adversaries roll a d10 with or without the above modifiers. Whoever beats theirs by the most gets the shot off first. The other only gets to fire after that is resolved even if they are both acting that phase. Ties mean simultaneous fire.
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