My Idea:

Alt-fire: Does a Close Combat attack, can cut of heads.
+20% Firing speed
-50% Clip size
-20% Ammo
-5 health

no to op this weoon completely decimate the problem of switching weapons its needs to be nerfed further

+10% clip size
+30% faster move speed on wearer
+10% damage
-20% firing speed
-25% damage vulnerability on wearer
No random critical hits

On miss: bleed for 3 seconds
+8 shells per shot
+20% weapon switch speed

[+]
Alt-fire:Does a Melee attack
[-]
Disables melee slot

Originally posted by McNuggets15:

[+]
Alt-fire:Does a Melee attack
[-]
Disables melee slot

This, and
[-] -10% Damage

-Takes both secondary & melee slots

*While user has secondary ammo, he cannot switch to melee
+ Alt-fire: Melee attack
-10% damage
-25% weapon switch speed

*While user has gun in loadout when he attempts to switch to melee it switches to the secondary wep
[+] AltFire does a melee attack
[-] -15% HP
[+] Can collect heads (Using system similar to Eyelander)
[-] No Random Critz
*Can be used by both Soldeer & Pyro

(Sec-)Deals -20%dmg
(Mel-)20% slower swing rate
(-)Replaces melee if equipped as secondary
(*)Replaces secondary if as melee,
(+)Alt-fire quickly swaps between weapons on melee and secondary.

+ 20% damage
- [Shotgun] Bullet is a single slug. Accurate at long range. (Still has 6 shots)
- 15% firing speed

*Stats apply for secondary AND melee weapon slots*
*For any class that uses shotguns*

The Sharp Shooter

This weapon takes the secondary AND the melee slot for it.
(Left click for shooting, right click for swinging. Swinging does double damage)
Crits Enemys which have more current health than wearer
-60% weapon swap speed
-20% damage
No random Crits

Pros:

+20% Ammo
Alt-fire: Does a quick slash that can damage the enemy and make them bleed for 4 seconds
+10% Health

Cons:

If missed: Self bleed for 4 seconds
-10% Damage
-34% Clip size (yes, exactly like the Reserve Shooter)

omg this is epic :D

Pros

+ on hit (melee) target bleeds for 10 seconds
+ +10% secondary ammo on wearer (shotgun)
+ +10% speed on wearer (both)

Cons

+ replaces both secondary and melee (takes up both at once)
+ -10% firing speed (shotgun)
+ on miss hit yourself (melee)
+ -10% swing speed (melee)

I don't mean to be rude, but I think a lot of you are making this weapon stat-wise far more complicated than it should be. The biggest appeal of the weapon is that it can be used for both ranged and melee purposes, I imagine in a quick fashion too. I suggest that it has the following stats...
+ 35% faster weapon switch
- 34% clip size
- Takes up both secondary and melee slot
I believe that the biggest appeal of the weapon is meant to be its two in one capabilities. For those who don't understand my stats I'll explain. + 35% faster weapon switch (Two in one capabilities makes it faster too switch). - 34% clip size (It appears that the axe blade takes up space where the ammo would be stored). - Takes up both secondary and melee slot (For balencing issues).