As others have said it won’t damage your car’s mechanicals to move it slightly in neutral.

That said, here’s what you should do: Do not turn the car off immediately after pulling into a parking spot. Pull the parking brake, put it in neutral, get out of your car and inspect your alignment & position. If you’re happy, turn off the car. If you want to move, you have power and can adjust normally while it’s still running.

I made the same move. Mullvad is still fantastic but Proton is also fantastic and works just as well for my purposes.