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If you are in the position where you can steal his wallet and get away with it, then you're also likely to be in the position where you can choke the life out of him.

That said, The answer to the question is no.

I would do it after stabbing him in the back.

Can I be assured that ruining Hitler's day isn't what set the holocaust into motion?

★⚓ His art was terrible though, not even in a "edgy new art movement" way. Just literally and utterly terrible even by the worst standards.⚓★

See, that's what I'm talking about. It's THAT kind of attitude that caused the holocaust.

I don't think his art was that bad

Take Wallet.
Make bad costume.
Use wallet to prove that it is in fact Hitler underneath awful Halloween costume.
Act offended. You used what you had.
Meet up with Hitler's No 1.
Kill him.
Steal his clothes.
Become him.
Rub on him so you smell like him.
Devour wallet to hide evidence.
Use new found power to steer Hitler's hatred elsewhere.
Elsewhere = France.
France surrenders.
Hitler now has Germany and France.
Hates the french.
Offer to take it off his hands.
Appointed King of France.
Use all of France's resources to build Metal Gear.
Have Solid Snake assassinated.
Kill Hitler.
Have Germany and France.
Use all of Germany's resources to build more Metal Gears.
Use Metal Gears to take over Russia.
Control Russia, Germany, and France.
Laugh.
Start Evil League.
Take over world.
Become horse.
MFW I'm Bad Horse, the thoroughbred of sin.