is it possible to make the picking sound go away so you just have the pitch? if so, how?
Using legato. Playing overdriven or distorted is inevitably going to tell you when you hit the string, if you play with a pick.
rhythm/neck pickup+tone knob turned down+legato=as close as you can get to that
also try different picking techniques, theres a few which have less attack
Current Gear-
Ibanez RG321
Peavey Rage 258
Rogue LX400
Fender Rumble 15
don't hit the strings as hard

Ibanez ART 300
Squier Strat
Godin 12 string Antique cedarburst
Ibanez RGD 320

Peavey Vypyr Tube 60W
Peavey Solo 15 W
Fender 10 W

Dunlop GCB - 95 Crybaby wah
Boss DD-7 Digital Delay
Boss MT-2 Distortion
Hitting the strings a bit more diagonally is going to reduce picking noise. Also, picking close to the bridge seems to help a bit.
use a really thick round pick and pick at an angle. Also try using your neck pickup.
Of course, that just changes the pick noise, doesn't take it away.
There's no way to take away the noise completely unless you have some kind of MIDI, like the Banshee guitar. Look it up on Youtube, it sounds amazing with a chorus MIDI.
My Gear:
Ibanez ART300 electric
Peavey Vypyr 75 watt combo amp
Yamaha FG-130 acoustic

There is no God.
Turn the gain down.
Besides being a guitar player, I'm a big fan of the guitar. I love that damn instrument. Steve Vai

Kramer Striker FR422SM
Roland Microcube
Digitech Bad Monkey
Dunlop Tortex 1.14mm picks

Check out D'Andrea Pro Plec picks, they're really good at eliminating that plucking noise.
2003 Music Man Axis Pacific Blue Burst