This is a fallacy. We are certainly also the stuff of dinosaurs. We share their evolutionary history. Our brains certainly show a level of sophistication which Hawkin's correctly described as a thousand brains. Many many different parts coming from many many evolutionary times and environments.
That said, if we are right, and we think we are right, about how nervous systems compute and how they arise out of the more primitive ion channels fundamental to cellular life, we should expect our form of intelligence to be pretty much the only form. The specific types of 'neurons' evolved elsewhere will almost certainly be different but the fundamental computation is likely to be the same with the same characterists. Even natural language is likely to be inevitable with enough evolutionary time.
The great contribution we can make will be to fully explore all possible intelligence and species communication at perfect depth and with an understanding of the laws that govern all possible intelligence. Perhaps, for example, that our brains are a combination of thousand brains out of a pool of perhaps ten million possible, distinct, brains all fundamentally doing this same computation. This idea seems to have clear meaning now. But it might well be century more before we have learned enough to make this contribution.
If current theory is right, then, unexpectedly, we should find we can learn to speak the natural language of any alien species we enounter. Perhaps not perfectly fluently. We could sit in our rocking chairs and converse about how strange reality appears to be, and be amazed at the silly physicist imaginations.