"Ultra ATA" is "standard IDE" so yes, it should be 100% compatible with any modern USB-to-IDE adapter or enclosure.
See Wikipedia's Parallel ATA article for the full history. IDE (Integrated Drive Electronics) was developed by Western Digital, and evolved into the AT Attachment Interface (ATA/ATAPI). Most "IDE" drives you'll see nowadays are actually "EIDE" drives (Enhanced IDE) -- this just means they meet the specs of some version of ATA/ATAPI, usually between ATA-2 and ATA-6.
Note Wikipedia's ATA standards table:
- pre-ATA was also known as IDE
- ATA-1 aka ATA, IDE
- ATA-2 aka EIDE, Fast ATA, Fast IDE, Ultra ATA
- ATA-3 (ditto)
- ATA/ATAPI-4 aka ATA-4, Ultra ATA/33
- ATA/ATAPI-5 aka ATA-5, Ultra ATA/66
- ATA/ATAPI-6 aka ATA-6, Ultra ATA/100
- ATA/ATAPI-7 aka SATA/150, SATA 1.0, Ultra ATA/133
Check the drive's label for one of the above standards, then make sure the USB enclosure you're considering supports that level. They are backwards-compatible, so if you don't get exact matches, the slowest speed will be used. (Eg, if you have an ATA-2 drive and an ATA-6 enclosure, it will only use ATA-2 speeds. Since this is a USB enclosure, this limitation won't matter much.)