Yes, witches and wizards can indeed be obliviated.
Gilderoy Lockhart speaking of obliviation
"Harry, Harry," said Lockhart, shaking his head impatiently, "it's not nearly as simple as that. There was work involved. I had to track these people down. Ask them exactly how they managed to do what they did. Then I had to put a Memory Charm on them so they wouldn't remember doing it. If there's one thing I pride myself on, it's my Memory Charms. No, it's been a lot of work, Harry. It's not all book signings and publicity photos, you know. You want fame, you have to be prepared for a long hard slog."
While Lockhart is, in many ways, a bumbling, babbling baboon, the one thing he seems to be somewhat of an expert on is indeed the Memory Charm.
Gilderoy Lockhart obliviating himself
"The adventure ends here, boys!" he said. "I shall take a bit of this skin back up to the school, tell them I was too late to save the girl, and the you two tragically lost your minds at the sight of her mangled body - say goodbye to your memories!"
He raised Ron's Spellotaped wand high over his head and yelled, "Obliviate!"
The wand exploded with the force of a small bomb.
While not hitting its intended target(s), the spell did erase the memories of a wizard.
Swooping Evil venom
The Swooping Evil venom did indeed not affect the various witches and wizards of New York. While the aurors could have had protective enchantment put in place, I find it unlikely that the non MACUSA-employed witches and wizards of New York have had the chance or time to do so.
I believe the answer to why witches and wizards were not affected by the venom lies in one or both of the two following quotes from Newt Scamander:
"You see, you're a muggle, so our physiologies are subtly different."
While this, in and of itself, could mean a wide variety of things, I think that in the context of the movie this is a hint that perhaps witches and wizards are not (as) susceptible to the Swooping Evil venom.
"I've been studying him and I'm pretty sure his venom could be quite useful if properly diluted. Just to remove bad memories, you know."
Again, quite an innocuous quote in itself, but given the context and what they end up using it for, I think there's a hint here. The key of the quote is bad memories. The No-maj population of New York have nothing but bad memories of the Magical Community and that's why they wash away so easily with the rain. Witches and wizards (and perhaps Kowalski, but that's digressing into another question) have good memories of magic and thus they remain unaffected by the rain.
So, while the venom could potentially affect witches and wizards, their subtly different physiology gives them some measure of protection and the fact that they have good memories of magic further stops them from being wiped.