In your case, my best guess is you'll be SOL as a MO resident carrying on a Utah permit in KS for two reasons; 1.) the Utah training is not comparable to KS and 2.) it is highly unlikely that the KS AG will buy off on traingular permits (a resident of one state carrying on another state's permit in a third state). Florida, South Carolina, Michigan and several others don't allow triangular permits and I sincerely doubt KS will either.
Got any quotes from the actual law to back up that assumption?
UPDATE: I have the actual language of the statute, and it state thus:
(c)A valid license, issued by any other state or the District of Colum-
bia, to carry concealed weapons shall be recognized as valid in this state,
but only while the holder is not a resident of Kansas, if the attorney
general determines that standards for issuance of such license or permit
by such state or district are equal to or greater than the standards imposed
by this act. The attorney general shall maintain and publish a list of such
states and district which the attorney general determines have standards
equal to or greater than the standards imposed by this act.
Triangular licenses are ok AS LONG AS YOU ARE NOT A RESIDENT OF KANSAS.