And very probably *very* different.
Although it's hard to be certain exacatly how they'd be different.It could have simply meant that a squad of Nazi soldiers would have shown up at such households and a gunfight would have ensued...a gunfight that the Jewish residents of the household would have lost.
At minimum, news of such armed clashes would have trickled out of Germany in time for the foreign press to notice.
How about a modern example then? Here's something that is happening all over Europe but especially Germany right now: a squad of German police show up to a german muslim no-go zone. The muslims in the nogo zone fight back. A few muslims killed, a few police killed. End Result? the german police don't go there any more.
The HuffPo won't mention it, and Europe now likes to pretend the US wasn't involved in liberating Europe, but if the Jewish folk and their non-jew camp-mates or ghetto mates had been able to get more guns, sure a lot would have died, but maybe not as many, and a better armed resistance would have bought precious time until the US was posititioned to come to the rescue with the full weight and determination of the American people (with a little help from the Brits and a full compliment of Russians provided American equipment on the side). Same tactic worked back in the 1800s with the US Cavalry. The fort defended itself until special forces could get there. And so the West was settled. And WW2 was won.