Since we don't see the beaming very often (especially since we're cutting the accident) and this is the only movie where you can see the tube-like confinement beam, I say we try to redo the beaming altogether, make it match the rest of the TOS movies. I'm thinking about watching TMP tonight, but I may just watch the beaming to see if we can do something like that...
UPDATE: Watched the bits, we've got Kirk beaming into the office complex and McCoy onto the Enterprise. I think there's enough there that we can make new blank background plates and cut out the shapes of the characters to let us do a new transporter effect. I'm bored on business travel this week, I'll take a crack at new background plates tonight using the HD images from TrekCore, the greatest site for fan editors ever.