Battery cable melted
 

Hi everyone new to this forum.
I need your help, my battery + wire was glowing red hot after changing the alternator.

Did you replace the alternator with another OEM unit, or an aftermarket one?

Aftermarket

Thats your issue right there. Same as the battery on your car, you cant put any alternator on your engine. You ended up putting one that cranks too much voltage/amps for your electrical system to handle.

What was the reason for the upgrade? Custom audio?

I was getting a engine check due to a camshaft position sensor. After i replaced that it started acting funny, i check online and found out if i change the alternator it would fix my problem.

Go to your dealership, and order an OEM replacement alternator. Once its on your car, take it into the dealership and have them go over your system. A car's computer/electrical system is sensitive, and you have fuses, but there's still a chance that you could have fried part of your harness, or various sensors/components.

Electrical systems are like medication, take something too strong and you can damage or overdose your system, too little and it wont do anything.

Ok I'll do that, is it safe to run the car even if it has a melted wire?

You need to replace the battery cable anyway at this point, why not pick up the cable kit that PA performance sells? http://www.paperformance.com/premium-mid-length-9907/
Assuming you do not have a short to ground in your system, and that your new aftermaket alternator is still good, this should fix your issue.

I checked all my grounds and looked at all of the fuse they seem to be ok. Im checking the alternator now with a multi meter to see if it's good.

No, you can end up with a fire.