Is it safe to use surge protector with 12vDC mobile power inverter

Two answers:-

1. The output is floating so it's safer than the mains. It's like your shaver socket.
2. You could buy something like a ready made HV psu It probably has less chance of exploding than a home brew device. It has both AC and DC outputs.

But another point I'd make is that solderless breadboards are small things for plugging LEDs into. The gaps between contacts are fairly small, and they won't be rated for 150V+. Plain vero board might be a better alternative.

I kinda asked something similar when I wanted to mess with some HV stuff here. There are some useful dimensions there in the answers.

1. You would need sine wave output (for induction motor)
2. Having an inverter with 1000W sticker doesn't mean it's truly 1000W
3. An induction motor needs 4x, 5x starting current, so even 1000W is too small, you would need 3000W inverter (if the grinder has induction motor) .