I got asked this question in a PM, but it’s important enough to deserve a post. The short answer is so far no impact including change in the feeling of general safety. As always, it is a remarkably safe city. Violent crime is almost unheard of. Never heard of a pickpocket either, but i presume there are a few.
There was a pro-Palestinian protest planned for 13 October, but they could not get a permit. In the words of the PM of Hungary: “Hungary Will Not Allow Sympathy Protests for Terrorists”. Have there been smaller protests? Not that I have heard of or seen. Currently the Hungarian government is 100% in support of Israel's right to defend itself (which does leave them a lot of wiggle room based on what is going on).
Budapest has about 100,000 Jews and maybe half of that number is orthodox so they are very recognizable around town. No problems that I have heard of.
Budapest has about 30,000 Muslims and all but a very few entered the country with legal visas for education or employment. Budapest has almost no middle eastern refugees (the number may actually be 0). No problems that I have heard of.
The Universities do not seem to have the vocal pro-Palestinian student and administration that many U.S. Universities have been demonstrated to have.
The biggest disappointment in the way the Hungarians are dealing with things is that so little is being said. But there are several Israeli and Ukrainian flags in windows around town.
But I also recognize that terrorist can come out of left field with no warning, and they look for soft targets. But that is true around the world. I suspect you are safer from terrorism here than in France or Belgium where things have already gotten ugly.