Yes, 'all people' is all people. But I think you're not grasping that it is God's desire, but the Scriptures are quite clear that it will not be so. Jesus, and the good news that he proclaimed was a message for all people and it is God's desire that all people listen to him and follow after him.
This is good, and pleases God our Savior, who wants all people to be saved and to come to a knowledge of the truth.
You are free to argue what God's word means as you see fit, but the words above are the words that we find written in God's testimony to us. It is God's 'want' that all people be saved and come to the knowledge of the truth. That is what God wants and that is why God sent Jesus. Even the prophecies of Jesus explain that his sacrifice is too great for only Israel, but that it will be for the whole world. That is what God's word says is what God wants and why He sent His Annointed one to us.
Honestly, when you argue against God's word and say to yourself, "Oh, that cannot be what God meant. He means that only special people such as myself who have trusted in Jesus is all that God 'wants' for mankind", that's a snobbish attitude in itself. The Scriptures tell us that we must remember, when talking and speaking to unrepentant sinners that we also were once just like them. There was a time in everyone's life that, as God sees us, we were no different than the Muslims, communists, pagans, etc. That's what the Scriptures teach us.
Titus 3:3 At one time we too were foolish, disobedient, deceived and enslaved by all kinds of passions and pleasures. We lived in malice and envy, being hated and hating one another.
Ephesians 2:1-3
As for you, you were dead in your transgressions and sins, in which you used to live when you followed the ways of this world and of the ruler of the kingdom of the air, the spirit who is now at work in those who are disobedient.
All of us also lived among them at one time, gratifying the cravings of our flesh and following its desires and thoughts. Like the rest, we were by nature deserving of wrath.
None of us were born saved and we should not be haughty in our attitude once we do come to know and understand and accept the truth of God and seek His salvation that He has prepared for us through Jesus, the Annointed one. So, I choose to take God at His word. That His want is that all mankind come to the knowledge of His salvation that is given to us through the sacrifice of His Son. But clearly, although it is God's stated want, we do know from the replete examples given to us in the Scriptures that it will not end that way.