Melee weapons use strength to modify damage and can't attack when during the back ranks during a siege or in a car chase. Ranged weapons are more consistent damage even for people with low strength, and consume ammo. For sheer damage output, The Incredible Hulk can do more damage with a large melee weapon than with a machine gun.
I believe baseball bats are given the same high damage output as Dwarven hammers, and I think they both use the Club skill. The only difference is whether you want your Liberal to look like a crazy fantasy geek or a crazy sports jock when she's bludgeoning things.
I think I made genetic mutants unrecruitable along with tanks and dogs. It was a very sad moment. Now, the nuclear and toxic waste mutants are another matter altogether, but less people know about those...
Liberals can have as many skills as they want, up to and including every skill in the game, but at some point they'll trail off the bottom of the profile screen and you won't be able to see your lower ones anymore due to having so many. But they'll be there. All skills are capped, most of them by being unable to go above one or more stats -- for example, your sword skill can't go above the average of your agility and strength. When you reach the cap you'll see your skill level say 3.99+ (for example) to indicate that you are capped at level 3, but have the experience to reach level 4 if it were possible. You can still keep high skills if your stats drop in the future (through injury or heart loss), but you won't be able to increase them further.
Fastest/easiest way to make big wads of game-breaking money at once is to have good hackers doing DDoS Racketeering. It's an advanced technique though, not really easily available at the start of the game. It can get your bases raided, and requires a high base skill level in computers just to start being effective. You can train people on credit card fraud and website harassment if you want to work on getting there.