Dear Jihad is a term widely misunderstood by many muslims, it is Jihad when you fight against nono-muslims who fights you, but what about two muslims fighting each other...!
Point No 1
In name of enforcing islamic rules or many other reasons like the clash between KSA and Yemen, or Syria, Iraq, Sudan, somalia and many other countries.. would this be considered as JIHAD?
Here comes the fuzzy area, where common muslims wouldn't normally know whom to support, where ALLAH SWT orders us to make peace between them, not to make it worse by favoring one party over the other.
ALLAH SWT said :[49:09] "And if two parties of believers fall to fighting, then make peace between them. And if one party of them doeth wrong to the other, fight ye that which doeth wrong till it return unto the ordinance of Allah; then, if it return, make peace between them justly, and act equitably. Lo! Allah loveth the equitable.
[49:10]
The believers are naught else than brothers. Therefore make peace between your brethren and observe your duty to Allah that haply ye may obtain mercy".
Point No 2:
Going against the governor, and government rules, those rules are applied to the Islamic countries, and there is a difference between countries where Muslims lives and countries where islam rules.
whenever the Islam rules, the governor has deviated from the Islamic path, the people (whoever they are) are ordered not to obey whatever wrong things he ordered, a good example is when Abu-bakr the first khalifa ruled, his speech was (O People! I have been put in authority over you and I am not the best of you. So if I do the right thing then help me and if I do wrong then put me straight).
Third Point:
Going against the Governor (Again - in Islamic country), is prohibited unless he committed AN OBVIOUS KUFUR, and obvious is something that everyone sees and knows it is kufur and at this point he is not fit to rule Islamic territory.
IN Sahih al-Bukhari 7055, 7056 Book 92, Hadith 8: Vol. 9, Book 88, Hadith 178, Narrated Junada bin Abi Umaiya:
We entered upon 'Ubada bin As-Samit while he was sick. We said, "May Allah make you healthy. Will you tell us a Hadith you heard from the Prophet (ﷺ) and by which Allah may make you benefit?" He said, "The Prophet (ﷺ) called us and we gave him the Pledge of allegiance for Islam, and among the conditions on which he took the Pledge from us, was that we were to listen and obey (the orders) both at the time when we were active and at the time when we were tired, and at our difficult time and at our ease and to be obedient to the ruler and give him his right even if he did not give us our right, and not to fight against him unless we noticed him having open Kufr (disbelief) for which we would have a proof with us from Allah."
I hope this answers the question..!