Modern computers can be programmed to do almost every task a human can make, including very high-level ones, that's why sort-of yes, they are (and maybe sort-of conscious, if you are willing to stretch this concept that far).

Some time ago we could program computers to execute some algorithm which solves a problem; now we have machine learning and don't have to provide an algorithm for every task; but we still have different machine learning algorithms for different areas/meta-tasks (computer vision, classification, time series prediction, etc.). When we build systems that are capable of solving problems in all these areas simultaneously -- and combining the results to reach some goal -- I would call such systems truly intelligent.

Having said that, I don't think I need an insight or explanation here -- because well, I mostly agree with you or jacob_cannel -- it's likely that intelligence and unconsciousness are logically incompatible. Yet as long as the problem of consciousness is not fully resolved, I can't be certain, therefore assign non-zero probability for the conjunction to be possible.

I don't know whether the statement (intelligence => consciousness) is true, so I assign a non-zero probability to it being false.

Suppose I said "Assume NP = P", or the contrary "Assume NP != P". One of those statements is logically false (the same way 1 = 2 is false). Still, while you can dismiss an argument which starts "Assume 1 = 2", you probably shouldn't do the same with those NP ones, even if one of them is, strictly speaking, logical nonsense.

Also a few words about concepts. You can explain a concept using other concepts, and then explain the concepts you have used to explain the first one, and so on, but the chain should end somewhere, right? So here it ends on consciousness.

1) I know that there is a phenomenon (that I call 'consciousness'), because I observe it directly.

2) I don't know a decent theory to explain what it really is, and what properties does it have.

3) To my knowledge, nobody actually has. That is why, the problem of consciousness is labeled as 'hard'.

Too many people, I've noticed, just pick a theory of consciousness that they consider the best, and then become overconfident of it. Not quite a good idea given that there is so little data.

So if the most plausible says (intelligence => consciousness) is true, you shouldn't immediately dismiss everything that is based on the opposite. The Bayesian way is to integrate over all possible theories, weighted by their probabilities.