When he opens 11%, that is very tight, it means he has AA around 5% of the time given that you hold KK.

Getting it in for 154bb with 18% equity costs you:

EV = (2*154*0.18 - 154) = -98.5bb.

Almost 100bb, which will happen around 5%, so on average that costs you a little less than 5bb. There is 7.5bb in the pot, and against all other hands you should expect to make some money when you 3-bet preflop. But this alone makes it very borderline to 3-bet and 5-bet KK here, so going all-in with less than KK is clearly a mistake unless you know more about his 4-bet tendencies.

Of course you aren't obligated to stack off with KK here. As to shoving over his large 4-bet, against a player this tight you need him to 4-bet with QQ or AKo here or be 4-bet bluffing. As a default play, getting it in with KK can never be a big mistake, but if you know more about his 4-bet range you can safely fold.

Also, if you want to play your own ranges and not care about his 4-bet tendencies, you shouldn't be 3-betting wider than KK for value against a player that opens 11%, so if you don't 3-bet as a bluff, KK is the bottom of your range and you can safely fold it. Since he is risking over $10.3 to win $4.94 in the pot and half of your range is AA and you never fold AA so with his bluffs he would need to win 68%. His best hand to do that with would be a hand like AQ, since it blocks 3 combos of AA and none of KK, so you get 6 combos of KK vs 3 combos of AA, hence you fold 67%. But that would be a very advanced play to attack your strategy, and it is still slightly losing.

So it is definitely not bad to fold KK to his 4-bet readless.