As a Stack Overflow moderator, I can tell you that this will more than likely be met with resistance on Stack Overflow (not as a personal preference, but based on what I've experienced) depending on the question.
Generally, when sites go into public/private beta that have an overlapping interest with Stack Overflow, the moderators are generally comfortable with migrating new questions on the subject matter over.
However, with old, established, and highly upvoted questions, the general policy is that they stay on Stack Overflow.
That said, a good number of the questions that you are asking for migration might be denied because of the above statement. It doesn't hurt to ask, but you should take into account how highly upvoted and how old a question is on SO when deciding what to ask to migrate.
Now, when Mathematica.SE gets out of private beta and a moderator has the option of moving to this site (only mods will, regular users only have the option to five of the main sites), we'll generally be more than happy if it's a Mathematica-specific question.
Also, if the question doesn't directly deal with Mathematica, as opposed to a more general programming question using Mathematica as the means to the solution, then it might meet resistance to being migrated, the general rule being "just because it's on topic for doesn't mean that it's off topic for Stack Overflow".
Note: I'm obviously interested in seeing Mathematica.SE succeed (being in the private beta), so please don't take this as "oh, he's just biased towards Stack Overflow"; that's simply not true. It's just a comment on how Stack Overflow feels about migrating certain content away in order to help you make the best decisions possible to make the site thrive.