quick answer to your question is NO - you shouldnt test a car sub on a home stereo.
reason being, most hifi's run at 8ohms and car subs run 4ohms or less (or more, depends if there dual coiled or not etc). And i doubt your hifi will beable to handle a 4ohm load, so i wouldnt bother risking damage to either the sub or hifi.
If you want one for your hifi then get an active jobby and just make sure you have a set of phono outs (tape outs will do)