As a technicality, they can be made to work as the 88-00 Civic/CRX/Integra chassis all share the same suspension bolt pattern as the RD1 CRV chassis. The RD1 is basically an SUV version of the 96-00 Civic chassis.
The issue is the shock spring rates and body length is way off, just over 4" too tall. So even though the top and bottom may bolt up, the suspension geometry would be off. Axles may bind, travel would be limited, wouldn't be safe.
Yea I want to lift the crx. I need something for winter/trails/. That's a good point. But If I were to use the lower control arms , axles , and struts from the crv wouldn't the tire travel be the same? just sit higher and have a wider stance , and really bad camber?
You can always try. I think the axles would be at a funny angle and may pop out if it was too long of a stretch. All camber, caster and toe would be off and suspension travel could be limited. I suspect you would have extreme positive camber and a bouncy ride.