Note: Anyone who wishes to add to this or edit this in a way that would make the outcome more realistic is welcome to do so. I will not be adding to this for a long time if ever. Spellchecks are also appreciated.
In this alternate history Theoderic the Great has a son who continues ruling the former Western Roman Empire as viceroy of the Eastern Roman Emperor until declaring independence. The empire he establishes falls a few centuries later, but its effect on politics is still seen in modern day.
Birth of Wistr
Theoderic the Great had a son named Theosunus, who he taught everything he needed to know about being a king. After his death in 526 A.D. his son Theosunus took over. After a brief period of rebellions for a year or so from the Visigoths and Osogoths he was able to successfully take control of them and named himself the King of Wistr (spelled today "Weaster" and translated to "the West"). At first Justinian I let this slide as he was busy with the Sassinads until 533 A.D. By this time Theosunus had secured his place as Kng of Wistr, conquered the Franks and the Vandals and secured his reign there, and had raised a significant army and had them trained according to the traditions of Rome. He prepared for the day when he was sure that Justinian would attack.
In 533 A.D. Justinian I attacked Carthage expecting to be take the people there by surprise had a harder time taking the city. The military leaders in the city were able to get word to Theosunus about the invasion shortly before Carthage fell. Theosunus was able to reach Carthage with most of his army (leaving but a small forces in different parts of his kingdom in order to prevent losing all of his kingdom should Justinian I attack) and promptly began attacking. After a year Justinian I and his army were destroyed, and Theosunus's army had won. He sent a letter to Theodora (who upon finding out that her husband was dead became regent for Justinian II) and asked for a treaty. She agreed and recognized to recognize the sovereignty of Wistr and agreed to not attack. The Byzantine Empire never had the strength to attempt another invasion of Wistr and as such Wistr became incredibly peaceful.
Latinization of Gothic
By the time of Theosunus's successor the Gothic people had become Romanized and took upon them their culture. Aqueducts were rebuilt, sanitation measures were reintroduced, and corruption was mitigated. The final blow to the culture of the Goths was the repealt of a law that prevented intermarriage followed by making Latin the official language. This made the common people entirely Roman. The people spoke Latin with few Gothic words actually being introduced except in the political realm as the King's family gave different positions names of Gothic origin. This resulted in Gothic words being associated with politics, a trait later seen in modern day Romance languages and English.
Common View of Politics
As the Goths were seen as barbarians to the common people, being in a position of power became increasingly viewed as barbaric (especially towards the Fall of Wistr) or at least uncultured. People who wanted power from positions had to weigh it against the unpopularity of having powerful positions. The few people who tried to get back at people who looked down upon them once they got a powerful position were quickly overthrown by the common people, and usually even by the people commanded to carry out such commands. This resulted in pretty good rule until the Kings started hiring mercenaries as a military police to keep the people down.
Fall of Wistr
After a couple of centuries of Gothic rule, corruption began to creep back in, the Kings were more involved in personal indulgence than actual ruling. Major problems especially came about when the King started charging for use of Baths in order to support his increasingly lavish life. By AD 800 there was major civil unrest resulting in the King being overthrown. The four leaders of the revolution could not decide who should take the kingdom and after much fighting broke Wistr into four countries: Italy, France, Spain, and North Africa (OTL names). Sanitation standards were kept by the rulers in order to keep more civil unrest to happen and continued to use Gothic terms in the political realm.
Modern day Influence
The result of Wistr is pretty small resulting in an almost identical world to OTL; however, Gothic words in political settings continue to be used in Western countries. In addition to that the Middle Ages were generally a lot better for the common people as the view that powerful positions were to be looked down upon continued even to modern day. Kings and later Congresses and Parliaments were extremely restricted in what they could do for fear of angering the common people, usually resulting in polls being taken before major decisions were made. This has resulted in much smaller governments as fewer people have wanted to take the position. It has also resulted in a strange custom of political parties selecting a person who they deem best fit to rule and campaigning for him, along with rules stating that a person who is elected has to take the position.