No. The PS3 Home content has been announced for (I think) 5/28 but if there's any area where Sony is going to screw 360 owners it's here.
They did the same thing with Activision's “Spider-Man 3” game. They wanted the game itself available on competing platforms like the 360 but Sony made sure that their console got exclusive bonuses, particularly the playable Green Goblin.
Granted, the Goblin was eventually available on Xbox Live but not until the around the time the movie came out on DVD. PS3 owners, on the other hand, had access to it on day 1.
Ultimately we're lucky that it's even coming out on the 360 (and those of us not in the US aren't getting it for several months) because “Ghostbusters” is Sony's IP and they easily could have gone developed it themselves as a Playstation exclusive instead of licensing the rights to Activision (which is a whole other story) but this is where they'll flex their “exclusivity” muscle, on the extras.
Of course, I hope I'm wrong. I hope we get themes and gamerpics on the same day the PS3 owners are getting their Home content.