Well, as long as your motherboard is okay (?), I would guess there could be some problem to use the G60Vx LCD and LCD cable, but not very certain about this.
If the G60Jx LCD and LCD cable were available to try, I would want to see how this goes.
Was the original problem just a bad G60Jx LCD module that wouldn't light up? If it was a cracked LCD that did light up, it would make me think that there is a problem to use the G60Vx LCD on the G60Jx if it's not even lighting up like the cracked LCD.
Forgot you mentioned you also replaced the vga card in your OP (did you have a chance to try the G60Jx LCD at this time too?), so we may not be able to eliminate this yet either.
Doesn't seem like I've been able to help much then.
The memory and SSD drive shouldn't be related to this problem especially if they were working before in the unit although you could probably pull them out if necessary to check.