It looks like you got the timeline wrong:
Anas (may Allaah be pleased with him) said: “The Messenger of Allaah (peace and blessings of Allaah be upon him) said: ‘The Dajjal will
emerge from among the Jews of Isfahaan, and with him will be seventy
thousand Jews, wearing crowns.’” (Narrated by Ahmad, no. 12865).
With the help of hadiths we get to know the duration for which Dajjal would stay on Earth would be 40 days out of which 1st day would be equivalent to a year, 2nd to a month and the 3rd to a week whilst the remaining 37 days would be the same as ordinary days.
Prophet Muhammad صلى الله عليه وسلم said : "He (Dajjal) will rule on Earth for 40 days, but they will not be like other days. They are:
'Forty days, one of these days will be like a year, another day like a
month, yet another like a week, and the rest (the remaining 37 days)
will have the same length as normal days '. The companions who were
always concerned about the matters of faith and worship, asked Prophet
Muhammad صلى الله عليه وسلم : 'O Messenger of Allah, for the day
which is like a year, will one day's prayers be sufficient?' He said:
'No, you must estimate the time and observe the (regular daily)
prayers'.” (Sahih Muslim)
The coming of Esa (alayhi salaam):
Prophet Mohammed صلى الله عليه وسلم said: "In the meantime, while the Dajjal will be busy doing this and this, Allah will send down the
Messiah son of Mary (Jesus عليه السلام). He (Jesus عليه السلام ) will
descend in the eastern part of Damascus, near the white minaret
(tower), dressed in the two yellowish garments, with his hands resting
on the arms of two angels. When he will bend down his head, water
drops will appear trickling down, and when he will raise it, it will
appear as though pearl--like drops are rolling down. Any disbeliever
whom the air of his breath reaches, and it will reach up to the last
limit of his sight, will fall dead. Then, the son of Mary will go in
pursuit of the Dajjal, and will overtake him at the gate of Lud and
will kill him." (Sahih Muslim, Tirmizi, and Ibn Majah).
If you see, the following hadith describes the interaction between Imam Mahdi and Esa (alayhi salaam) which means Muslims recognize Esa.
Jesus son of Mary would then descend and their (Muslims') commander would invite him to come and lead them in prayer, but he would say:
No, some amongst you are commanders over some (amongst you). This is
the honour from Allah for this Ummah. (Sahih Muslim, Book 001, Number
You can see, Dajjal comes first, followed by Eesa whereas during the time of Hajooj Majooj,
...Then a people whom Allah had protected would come to Jesus, son of Mary, and he would wipe their faces and would inform them of their
ranks in Paradise and it would be under such conditions that Allah
would reveal to Jesus these words: I have brought forth from amongst
My servants such people against whom none would be able to fight; you
take these people safely to Tur, and then Allah would send Gog and
Magog and they would swarm down from every slope. The first of them
would pass the lake of Tibering and drink out of it. And when the last
of them would pass, he would say: There was once water there. Jesus
and his companions would then be besieged here (at Tur, and they would
be so much hard pressed) that the head of the ox would be dearer to
them than one hundred dinirs and Allah's Apostle, Jesus, and his
companions would supplicate Allah, Who would send to them insects
(which would attack their necks) and in the morning they would perish
like one single person
Sahih Muslim Book 041, Hadith Number 7015.
Well, this is a really huge topic but to answer your question, you can see that Esa (alayhi salam) is already present when Hagog and Magog come on earth. We can also see that Esa slays Dajjal soon after he comes. As for Dajjal, there are normal signs which are happening nowadays which indicates he will be the first to come.
Here's the order: Dajjal--Eesa(Alayhi salaam)--Hagog/Magog. Dajjal wont be there at the time of Hagog Magog. Hope this answers the question. As of the strong wind, it will come after all of this.
And Allah knows best!! Baarakallahu Feekum..