did you read the entire article, or are you just ignoring everything the article clearly statedFrom your article
Shaykh ‘Abd al-‘Azeez ibn Baaz (may Allaah have mercy on him) said:
Kufr is denial and concealment of the truth, such as one who denies that prayer is obligatory, or that zakaah is obligatory, or that fasting Ramadaan is obligatory, or that doing Hajj when one is able to is obligatory, or that honouring one's parents is obligatory, and so on, or one who denies that zina is haraam, or that drinking intoxicants is haraam, or that disobeying one’s parents is haraam, and so on.
Shirk is devoting acts of worship to something or someone other than Allaah, such as one who seeks the help of the dead, those who are absent, the jinn, idols, the stars, and so on, or who offers sacrifices to them, or makes vows to them. A kaafir may be called a mushrik and a mushrik may be called a kaafir, as Allaah says (interpretation of the meaning):
Al-Nawawi (may Allaah have mercy on him) said:
Kufr and shirk may carry the same meaning, which is disbelief in Allaah, may He be exalted, or they may be used separately
The Shaykh (may Allaah have mercy on him) also said:
It is also shirk to worship only something other than Allaah. This is called shirk, and it is called kufr. Whoever turns away from Allaah altogether and devotes his worship to something other than Allaah, such as trees, rocks, idols, the jinn or some of the dead such as those whom they call awliya’ (“saints”), and worship them, pray to them or fast for them, and forget Allaah altogether, this is the worst form of kufr and shirk. We ask Allaah to keep us safe and sound. Similarly those who deny the existence of Allaah and say that there is no god, that life is only material, such as the communists and atheists, are the most disbelieving and misguided of people, and the worst in terms of shirk.
he says atheists commit shirk, according to you they only negate Allahs existence and dont worship him, so how are atheists commiting shirk according to you?
The Jews and Christians are both kaafirs and mushrikeen. They are kaafirs because they deny the truth and reject it. And they are mushrikeen because they worship someone other than Allaah.
A kaafir may be called a mushrik and a mushrik may be called a kaafir, as Allaah says (interpretation of the meaning):
“And whoever invokes (or worships), besides Allaah, any other ilaah (god), of whom he has no proof; then his reckoning is only with his Lord. Surely, Al‑Kaafiroon (the disbelievers in Allaah and in the Oneness of Allaah, polytheists, pagans, idolaters) will not be successful”
[al-Mu’minoon 23:117]
here someone who makes due to other than Allah is called a kaafir
33. It is He Who has sent His Messenger (Muhammad) with guidance and the religion of truth (Islam), to make it superior over all religions even though the Mushrikoon (polytheists, pagans, idolaters, disbelievers in the Oneness of Allaah) hate (it)”
[al-Tawbah 9:32-33]
Here Allaah calls the kuffaar kuffaar, and He calls them mushrikeen. This indicates that a kaafir may be called a mushrik and a mushrik may be called a kaafir. There are many similar verses and ahaadeeth.