The gender change on your drivers' license may work until the Kansas DMV uses your SS# to identify you. If they notice the discrepancy, the result may depend on how well you pass. It sucks but it's true.
Social Security, unfortunately, needs a letter confirming surgery for a gender change, regardless of what your drivers license states. A FTM friend told me that top surgery alone is sufficient.
FYI, though..... I went into my local DMV and simply stated that I received my license with the wrong sex marker. The counter person apologized for the "error" and changed it without documentation. If you pass well this is something that you might want to try. It's cheating, I know, but we do what we have to do, right ;-)
Also, I think that changing your name first and waiting a few months to try changing your gender on your license might work. It's just a suggestion but it worked for me :-)