>>2949541 (OP)
I'd not touch it at all but rather hide it. A sticker works. But is a bit ghetto.
You could go to a sign shop and get an engraved lamacoid made up and you can use some adhesive to adhere it over top of the star. I've seen some really cool metal ones. They can be painted too. But a nice badge shape with your name on it or some cool emblem would be nice too.
Or get one of these pick holders and adhere it over top of it. They already have adhesive on the back of them, just peel and stick. They're spring loaded and are actually really useful.
This way you can sell the guitar someday if you wanted to or if the price was right. I'm sure some Jewish person might be interested in that guitar.
Turn your $300 into $1000 if you're patient and if the guitar sounds good enough and it's a nice build. It can be done via Reverb.com