Source:
http://docs.kali.org/introduction/should-i-use-kali-linux
Before you get to far afield with Kali, which I assume you are running from a "Live" environment, I'll admit that I have no idea as to how it handles an SSD in AHCI mode and what drivers might or might not be present for you specific Hard Disk Controller.... So that fact that it doesn't see it might not be critical. However: the fact that you have two separate Operating Systems having problems with the same SSD may be indicative of a problem with that drive.
Maybe begin again by re-downloading the correct version and bit architecture for your install of Windows 7 from here
Link Removed
And rebuild your USB installation using that. Just in case there was any corruption with the download or the files placed on the USB device or even perhaps a problem with the USB device itself.
You may also want to use your system's BIOS utility to switch for AHCI to NATIVE IDE just as a test to see if that has any impact on your issue.
And if you want to continue testing with a Linux Live Distro, maybe try something a little more user friendly like
http://www.linuxmint.com/edition.php?id=159