Do the math Random Guy.
From the lodgement that the Axis held in Libya in 1941 it is roughly 3000 Km to Baghdad.
Yeah right. Let's go boot-stomping our way across 1900 miles of uninhabited desert with no logistical train.
J effing C? Are you really that naive as to how an army works in the time period?
Even cutting the Suez Canal (a mere 1400 Km from the Axis' establishment in Benghazi) proved far beyond the logistical reality.
The idea you propose for boot-stomping Turkey is even more ludicrous.
Why, you ask?
Well the Third Reich had a rather "comfortable" set of trade agreements in place with the Turkish State in 1941.
Tungsten, Chromium, Molybdenum, and Vanadium were pretty "goldurned" important for war production in the good ol' Vaterland...and Turkey (at the time: i.e. before the Germans boot-stomped Greece and Yugoslavia) was a primary source for these imports. You can't make machine tools (and a lot of other things) without these alloying metals.
But I'm sure you knew that?
Even after they boot-stomp the Greeks and Yugo's in the Spring of '41, they're still 2200 Km from Baghdad (if they decide to go through Turkey), again over hostile terrain with minimal infrastructure in place to support a modern, mobile army.
To say nothing about the Soviet reaction to such an endeavor...but I digress.
All of this is a non-starter.
Hitler made the proper choice (of those available to him in the Spring of 1941) but it was a matter of him choosing (and of him hoping for) the best possible outcome which would keep his Nation's financial boat above water.
The Soviet people had other thoughts in that regard.
My honest advice is that you go read some of the (multiple) references I gave in my prior post.
This is not a videogame where you have a reset button and unlimited logistical support.
These are real men (hundreds of thousands of them) who need to eat, poop, and have ammunition to kill the enemy.
They also need fuel, spare parts, and a myriad of other "things" which all seem insignificant...until you have to go a month or two without them.
Like new socks, a letter from home, a pair of boots...because the soles are worn through on the pair you have and you refuse to wear a dead man's boots.
Things like this.
Consider it.