Some people try to prove and distinguish among the laymen that title "Ameerul Momineen" was used in the praise of Yazeed just to satisfy their desires with the support of irrelevant arguments.
Following are the clarification that title "Ameerul Momineen" is used only to refer someone's designation, it is significant to that only and it doesn't prove anyone's praise.
Al Mu'tasim billah Abu Ishaq Mohammad Haroon Rashid al Abbasi (227AH)
This Abbasid caliph claimed that Qur'an was the creation of Allah and anyone who goes against his claim he punished or oppressed him.
Imam Ibn Saeed al Baghdadi writes in the translation of Al Imam Ahlus sunnah Abu Abdullah Ahmad ibn Hanbal (230Ah)
«أحمد بن محمد بن حنبل، رضي اللّٰه عنه ويكنى أبا عبد اللّٰه. وهو ثقة ثبت صدوق كثير الحديث، وقد كان امتحن وضرب بالسياط، أمر بضربه "أبو إسحاق أمير المؤمنين" على أن يقول القرآن مخلوق فأبى أن يقول...».
Abu Abdullah Ahmad ibn Hanbal was a trustworthy and reliable narrator he narrated lots of hadith, indeed he was tested with trials and he was ordered to be killed by Abu Ishaq "Ameer ul Momineen" because he wanted to make Imam Ahmad ibn Hanbal to accept that the Qur'an is the creation of Allah but he refused to do so.
[Tabaat al Kubra 7/354]
See, the above mentioned text that he used "Ameerul Momineen" for a person who's a oppressor and inviting on deviated in belief, now it is known that "Ameerul Momineen" title is used for position or designation not in the praise.
Likewise, Mohammad bin Saeed al Baghdadi writes under the translation of Qadhi Abul Waleed Bashir bin al Walid bin Khalid al Kundi al Baghdadi (238Ah).
«بشر بن الوليد الكندي، روى عن أبي يوسف القاضي كتبه وإملاءه، وروى عن شريك وحماد بن زيد ومالك بن أنس وصالح المري وغيرهم، وروى عن محمد ابن طلحة، وولي القضاء ببغداد في الجانبين جميعًا، وكان يحدث ويفتي الناس ببغداد، وسعى به رجل فقال: إنه لا يقول القرآن مخلوق، فأمر به أمير المؤمنين أبو إسحاق أن يحبس في منزله، فحبس في منزله ووكل ببابه الشرط ونهي أن يفتي أحدًا بشيء، فلما ولي جعفر بن أبي إسحاق الخلافة أمر بإطلاقه وأن يفتي الناس ويحدثهم، فبقي حتى كبرت سنه وتكلم بالوقف فأمسك أصحاب الحديث عنه وتركوه».
Bashir bin Walid Kundi, he reported narrationsn from Qadhi Abu Yusuf, wrote it, and acted upon it and also took narrations from Shareek, Hammad bin Zayd, Malik ibn Anas and Saleh al Marri etc furthermore he also reported narrations from Mohammad bin Talha and he was appointed as a Judge towards Baghdad and he used to give verdict to the people of Baghdad, once a man complained that he do not consider Qur'an is the creation so "Ameerul Momineen" Abu Ishaq ordered to imprison him in his house and banned him from giving any verdict to the people and when Jafar bin Abu Ishaq got hold of the throne of caliphate he ordered him to be set free from imprisonment and allowed him to pass the verdicts to the people and teach the hadith and he reached old age doing the same and he left the issue of Qur'an is creation so his companions stopped themselves from gathering hadith from him and left him.
[Tabqat al Qubra 7/355-356]
Do you really think that Imam ibn Saeed رحمہ اللہ will use a prefix "Ameer ul Momineen" out of praise and admiration with the name of a person who had a belief that Qur'an is created, it is evident that it is due to the position not due to praise or admiration.
Ibn Saeed Baghdadi رحمہ اللہ writes about Abu Sulayman bin Abdullah ar Rabi al Damishqi (379Ah)
وفي هذه السنة مات أمير المؤمنين المعتصم باللّٰه بسامرا ليلة الأحد للنصف من شهر ربيع الأول وبويع ابنه هارون الواثق باللّٰه.
In the same year, "Ameer ul Momineen", Mu'tasim billah died in the mid of Rabi al awal on Sunday night at in Samara and his son Haroon Wathiq billah got pledge of allegiance.
[Tarikh Mualad al Ulama wafiyatahum 2/502]
He writes under Abi bakr Ahmad bin Ali bin Thabit al Khatib al Baghdadi (463Ah)
«محمد أمير المؤمنين، المعتصم باللّٰه بن هارون الرشيد بن محمد المهدي بن عبد اللّٰه المنصور بن محمد بن علي بن عبد اللّٰه بن العباس بن عبد المطلب، يكنى أبا إسحاق».
Mohammad "Ameerul Momineen", Al Mu'tasim billah bin Haroon Ar Rashid Mohammed bin Al Mahdi bin Abdullah bin Mansoor bin Mohammed bin Ali bin Abdullah bin Al Abbas bin Abdul Muttalib, yukni Abu Ishaq.
[Tarikh al Baghdad 3/342]
Ibn Sa'eed al Baghdadi رحمہ اللہ writes under the Abu Abdullah Mohammad bin Ahmad bin Uthman Ad Dhahabi (748Ah).
محمد المعتصم باللّٰه، أمير المؤمنين، أبو إسحاق بن هارون الرشيد ابن المهدي الهاشمي العباسي
Mohammad al Mu'tasim billah Ameerul Momineen Abu Ishaq Bin Haroon ar Rashid ibn Mahdi al Hashmi al Abbasi [Tarikh al Islam 5/692]
Now it got clear that the title Ameerul Momineen doesn't mean praise and admiration but it refers to the glory of the throne possessed by a person.
-Translated from Abu Taymiyah Mustaqimi