That's something I was looking into myself recently, too, MAD. Short version is...no. There are some close equivalents in different ways, but it kind of depends on what you're looking for.
I'd say the closest equivalent, though, is something like the Cadillac Gage Commando. Similar size, capabilities, and armament, but it was never really designed for the same role. In general, though, dedicated Western recon vehicles were more commonly tracked (M114, Scimitar), less frequently amphibious (Ferret, Panhard AML), and/or far more expensive (Fox, Luchs).
On the plus side, I understand that most brands of straitjacket are easier to get in and out of quickly than the BRDM-2. You'd think that would be important in a recon vehicle, but what do I know?
Personally, I
love recon vehicles, especially turreted, well-armed ones. I think they're some of the best looking military vehicles out there, but if I had to be really boring and sensible, I think something like a small, light, cheap, simple, and amphibious wheeled armored vehicle with the room for a couple of dismounts is probably ideal. The BRDM-2 isn't bad (especially for 1962), but I actually think the BRDM-1 was a bit better in concept, it's just that it wasn't suitable for the nuclear battlefield. I don't think the West stumbled upon anything comparable until the Puma 4x4, Otokar Cobra, or VBL (my personal favorite).
Cheers,
Logan