I don't know if you are talking about the AEM direct connect to AA, but I am not sure if that yet supports WebSDK...
When we had AEM, I didn't use that connection.. it was extremely basic and didn't get us what we needed... I just had our developers provide me a data layer on our sites, then I extracted the information into Launch (Data Collection) that way...
Once you have that, you can send to WebSDK.
You can either map to the XDM structure directly, or Search Discovery created a free extension that works more like the interface you are used to, and allows you to set you events and dimensions like normal, and it will map the data to XDM for you.
