No. I know that it does slide the interlaced frames back in place, but I think that progressive means the whole image was catpured. I don't think it can be made progressive in post.
Yes, a standard deinterlace gives you something like 30p, but not the quality that you would get from just shooting 30p to start with.
Something like DVFilm Maker or many NLE's can also convert to 24p, which is basically deinterlacing/interpolating/change the frame rate all in one process.