The reason you can't get rid of this "Session ID" is because what you are seeing here is
not a SessionID at all.
Rather, it is an identifier used for anonymous identification. You can tell by the
X(1)A part at the beginning. Session IDs start with
X(1)S.
You have this because you have set the cookieless attribute of <anonymousIdentification> to either "AutoDetect" or "UseUri".
<anonymousIdentificationcookieless="AutoDetect"enabled="true"/>
Set it to "UseCookies" to get rid of the X(1)A identifier in the querystring. Better yet, if you don't need to have anonymous identification, disable it altogether.