They are all approximately equal when compared with that of human.
They demonstrably are not. Many species of birds can use human speech in unique ways to convey meanings. Yet, an amoeba reacts in such a set pattern that you could never really train them to do anything they aren't going to do in some natural situation. Do you think so little of your dog that you would put it on the same level of intelligence as a jellyfish, an animal that doesn't even have a brain? What barrier to you think exists that makes chimpanzee intelligence perfectly explainable via naturalistic process, but not human intelligence?
I don't even understand your logic here: if you view human intelligence as so extraordinary that it couldn't have possibly evolved, how can you view chimpanzee intelligence, which in some tasks surpasses ours, as not defying evolution in some way? I don't get why your argument is so human centered that you would allow any other trait to be influenced by evolution but that one, including the intelligence of every other species on Earth.
My intelligence, nor anyone else's, is not evidence of some designer unless you can provide evidence that disproves all other reasonable possibilities. For example, say there is a 3 meter deep hole in the ground, and you want to claim that I dug it. I deny this. This is how you properly defend such a position.
1. Usually, the first step one would go for is demonstrating that the hole wasn't dug by some other animal or the result of some natural cause. A hole dug with a shovel will not look like such holes, so you could point out the shape of the hole, the size, the markings on the sides of it... heck, you might even catch a lucky break and have a used shovel nearby to present as evidence.
2. Once you have gathered sufficient evidence that the hole was dug by a human, that still wouldn't be sufficient to reasonably claim that I am the one that dug it. After all, there are many humans out there capable of digging holes, and probably a good portion of them could do a better job of it than me. Looking for dirt under my fingernails and testing where it came from, figuring out the shovel is mine thanks to it having some defining characteristic, and removing any possibility of an alibi would all help to amount to evidence that I had dug the hole that was stronger than even if I had claimed to have done so. Establishing a motive for doing it would help as well, but not be inherently necessary.
You haven't even touched step 1 for assuming my or anyone else's intelligence could count as evidence for some designer. Unless you can disprove any alternative possibility, such as evolution, with actual evidence rather than claims, our intelligence isn't evidence for anything other than the fact that intelligence exists... and quite a few people question even that. Step 2 is necessary to get a "specific designer", so even if you somehow got step 1 completed (which you have yet to even try), you would still need to get through this step to make any claims on the nature of this "intelligent designer".