Re: Difference between Ahle-Sunnat and Ahle-Hadeeth
The parity of Ahl-us-Sunnah is not with Ahl-al-Hadith, it is with Shi'a.
1) Ahl-us-Sunnah Wal Jamah
1.1) Hanafi
1.1.1) Deobandi
1.1.2) Barelvi
etc
1.2) Shafi'
etc
1.3) Hanbali
1.3.1) Ahl-al-Hadith (Wahabi)
etc
1.4) Maliki
etc
..........
2) Shi'a
2.1) 5er's
etc
2.2) 12er's
etc
...........
There are three parts of the Islamic identity:
Aqeedah, Fiqh, Tariqah (tassuwwuf)
The above shows the fiqh classification. There is no rule that any given fiqh needs to match given 'aqeedah, but there are three accepted aqaid (theology) of Ahl-us-Sunnah which are:
Ash'ariyya
Maturidiyya
Athariyya
(Tahawiyya) - this is considered a corpus - a theological foundation, it is no longer an established school of theology, but all accepted schools acknowledge and include this work and then expand upon it.
The first has the most esoteric content, then the second and atharis tend to prefer no esoteric content in their theology. Now both Barelvi and Deobandi are based on the Maturidiyya 'aqeedah, but deobandis tend to undertake taqleed with self-study as backup, whereas barelvis tend to undertake taqleed more devotedly. Atharis tend to argue against taqleed but can't avoid it really. (personal opinion)
In terms of tariqah, these are practices and exercises designed to increase our capabilities in the areas of finesse, sublimity, compassion, humility, brilliance, etiquette, God-consciousness, etc ... these are considered acceptable by deobandis and their version of this would be khuruj/ tabligh, but having a shaykh, with dhikr as a personal activity. Barelvis have full consent for tassuwwuf and often prefer to be called people of tariqah (i.e. sufis), examples are dawat-e-islami who are qadiri barelvis. Qadiri being one of the schools of tariqah, in fact it is the oldest one. Some traditional deobandis would still do this as well, but modern trends have affected this in them.
Ahl-al-hadith are against tassuwwuf and a more stringent version of (wahabis) are the Salafis who the Sufis call Neo-wahabis. In fact it is wrong to call the salafis wahabis because they do not strictly follow a madhab, but they do consider the ideas of Abd-ul-Wahab as correct especially in the line of textual evidences.
Ahl-al-hadith tend to focus on Bukhari and Muslim, Tabarani, Ibn Kathir and Ibn Taymiyyah (May Allah (SWT) Mercy be on all of them)
Hanafis will not limit their textual references. Shama'il-e-Tirmidzi is a famous compilation for many hanafi fiqh rulings. Otherwise, Ahmad, Dawud, and others are all considered.
According to this ahl-al-hadith are part of Ahl-us-Sunnah ... Ahl-us-Sunnah is just the complete title for "Sunnis" (actually to be complete the term wal-jama should come after it). There are other differences but I have left them out since it would more complicated to explain.