Surely that's the whole point - it's a dialect, so it has the same core but not 100% so you have to translate some of it to get to the other.

The dialects of Dutch in Belgium contain completely different words and phrases - but the core is still Dutch.

But for large parts of the speech they are recognisably similar.

So I'd say yes all the lisps you mentioned are dialects of Lisp. You can't run one directly in the other, but they are reconisably similar programming constructs.