Actually, they weren't trying to eliminate encryption - just limit its strength. Yes, they were trying to implement restrictions as per the ITAR on strong encryption. They were up in arms over PGP being outside of their control. They were trying to force the Clipper encryption chip and Skipjack down our throats. And, Gore was the guy who was pushing these things for the administration with the urging of the 3 letter acronym organization.
Encryption, in the US, would have remained. Clipper, embedded into everything would have allowed law enforcement to decrypt communications using, supposedly, a warrant to obtain the "Law Enforcement Access Field (LEAF)" that would then have allowed the recovery of the encryption key. It probably should have been called the "Law Enforcement Access Key" (wait..that spells LEAK...can't have that). A vulnerability was discovered that enabled a hacker to encrypt communications while bypassing the generation of the LEAF key. That derailed the entire project and Clipper died in 1996.
Yes, I still have my "Sink Clipper" tee shirt from the RSA Data Security conference from back when they were actually trusted.