No, CL doesn't have the same problems as Scheme, not by a long shot. See Quicklisp or cliki.net even. All these libraries (Quicklisp alone has 1000+ libraries last I checked) work perfectly fine on _multiple_ CL implementations.
You doing work on Linux and need a very fast compiler? Use SBCL, 3rd party libraries continue to work (unless they're platform specific)
Doing work on OSX or Windows? Use CCL. 3rd party libraries continue to work (unless they're platform specific).
This flexibility is absent from the Scheme world, with the myriad slightly incompatible implementations and extremely fragmented library space. The emergence of Quicklisp for Common Lisp was so important that it alone KILLED Scheme for any sort of practical use. For most cases, one has not the slightest incentive to stray from using Common Lisp these days, and if he does, he better have a good reason.
What is the equivalent for Scheme? The SRFI hell? _shudder_