Well, was it two or three days ago?... I logged into the portal to see if the status of things had changed. I was bracing myself to see the same-ol' same-ol'. But there was an "Approve" button there! I clicked it and got a nice download link.
Later that Night:
I finally had the time to download the certificate to my iMac. I went through the proper hoops and shazam! It worked! I can now run my apps on my actual iPhone again!