Of course not. Most important to remember is that Mo has really had only three years of dominance: 2011-13. That's not enough of a record to call anyone the GOAT, championship golds or no championship golds.
Bekele's and Geb's records of longevity at the top alone put them ahead. Geb's time at the absolute top spans at least eight years -- from WC gold in 1993 to Olympic gold in 2000 -- and he was 6th in the Oly 10K as recently as 2008 (in a time Mo has only surpassed once, as far as I can tell) That's an incredible 16 years as as one of the very best distance runners in the world).
Bekele was the (more or less) undisputed top dog from at least 2003 through 2008. Their clash -- and the passing of the torch as the preeminent track distance runner of that time -- in the 2003 WC 10,000 (won by Bekele in 26:49, after a second 5K of around 13 flat, and final 400s of 55 for Bekele and 56 for Geb) was one of the greatest distance races of all time in my book. Mo has no similar signature victory over an opponent of such historic excellence at or close to the height of his powers (that's not his fault, of course....).
And let's not glibly dismiss everyone before Geb. I don't think Lasse Viren makes the cut because he did almost nothing outside his two big Olympic years -- but remember also that, until the 1980's, there WERE no world championships, and runners before that time should not be penalized for that lack. Different eras and different competition (no East Africans, for example) but any discussion of GOAT for distance runners that does not at least consider Paavo Nurmi and Emil Zatopek is not a serious discussion.
And please don't say you can simply compare times from one era to the other -- I have one of my father's pairs of spikes from the 1940's, and I did my high school training (and some racing) on a cinder track in the 1970's, The difference in equipment, training methods, etc (rabbits,altitude training, specialized diets, pharmaceuticals -- you name it!) makes time-based comparisons between eras inappropriate. Mo, Geb, and Kenenisa shared similar enough conditions to consider times in comparing their "greatness".
Comparisons with other era should focus on things like honors, records set (and perhaps the longevity of those records), and won-loss records.
Based on those criteria, Zatopek certainly deserves at least some discussion -- 4 Oly gold (including the only ever same-year 5K/10K/marathon win), one silver, multiple European championships as well when that meant something, undefeated over 10K for something like six straight years, multiple world records at distances from 5000 to (I think) the marathon (I know for certain that he set a one-hour record).
Mo as GOAT? Maybe he'll get there, but he's not close yet.