My wife has recorded our sons shows on to a DVD-RAM. My
computer will recognize the disk as MEI_UDF but will not
open the files in i Movie HD or iDVD to edit them. Any help
would be greatly appeciated. Thanks!

The DVD drive needs to have dvd-ram capability
included..not all combo DVDs actually do have that..
Most newer combos do, however,
There are two formats of DVD-RAM, however..the older
format can pose compatibility problems, if that's what the
drive (your wife's) was..you can tell because the discs are
smaller capacity, at around 2.6 gigs per side (that's 5.2
gigs for a double sided disk)..
Newer DVD-RAMS now have 4.7 Gigs per side (9.4 or so
total for a 2 sided disk)..
I have an LG Combo with DVD-RAM capability and it won't
write to the smaller ,older format ones..but will read them.
I'd suggest you check either if the drive supports DVD-
RAM, or if it's an older format disk (also if you want to see
if your wife's drive that wrote the disk is the earlier type,
try inserting a 4.7 gig disk and see if it spits it out...)

This is a DVD recorder for recording TV shows. Not a TIVO.
We were trying to clean up the TIVO. The DVDs we used are
4.7 gig.

First off your MAC Drive is incompatible with DVD-RAM Disks. Therefore you have two choices:

1) Buy a compatable DVD Drive

2) Use the video out of the original machine the DVD-RAM Disks were created on and use a MAC USB Video Capture Device so the captured video is in a format you can work with:

http://www.eskapelabs.com/mycapture...

http://www.usbgear.com/computer_cab...

plus many others....