Yes your controller registered to the pci bus and thats why you see it on the list of all devices or by using lspci but right now you havent installed the right device driver. If you have a driver the devices are identify by its PCIIDs and will be initialized. If this happends you can see it under Storage Adapters.
I doubt you havent install the right driver because when using a favorite searchengine it shows that this device was supportet around ESX 4.x and maybe in the early 5.x versions.
If this is just a proof-of-concept, why are you bothering with a RAID controller to begin with?
My guess would be that you first have to get that 3ware BIOS to load to start with, which by itself might involve things like moving the RAID card to another PCIe slot.
Once you can get into the RAID firmware you can configure the RAID set based on those 2 SSD's.
However I agree with Daphnissov, why bother?
Mucking around with old drivers and wasting time on getting this to work isn't very likely going to be very helpful knowledge to learn.
You can run vSphere as a virtual machine within VMware Workstation and get your handson experience that way.
It is possible to run guests inside the vSphere virtual machine, so you can do a pretty good test that way.
Alternatively you can conntect those SSD's directly to the motherboard and use them as 2 SATA based datastore's.
Wil| Author of Vimalin. The virtual machine Backup app for VMware Desktop Products
| Vimalin : Automated backups for VMware Fusion and VMware Workstation Professional
| More info at https://www.vimalin.com
| Twitter @wilva
| VMware Wiki at http://www.vi-toolkit.com