How are you physically going to do this? Two connectors side by side? From your drawing, it looks like you're going to have a cable that splits in the middle. DON'T DO THAT!
What you should REALLY do is use an Ethernet switch. The problem with your approach is that you are going to have a stub, which can be bad or really bad, depending on how you do it. Stubs cause reflections and signal degradation. You might be able to do this if you've got two connectors close together (they actually do sell splitters that do that), but it's not perfect.