Jihad...The Verses
Verse (4:95)

The Holy verse says:
"Not equal are those believers remaining [at home] other than the disabled and the mujahideen, [who strive and fight] in the cause of Allah with their wealth and their lives. Allah has preferred the mujahideen through their wealth and their lives over those who remain [behind], by degrees. And to both Allah has promised the best [reward]. But Allah has preferred the mujahideen over those who remain [behind] with a great reward" (4:95)

First of all let's take a look at the verse right before the above verse. The Holy Quran says:
"O you who have believed, when you go forth [to fight] in the cause of Allah, investigate; and do not say to one who gives you [a greeting of] peace "You are not a believer," aspiring for the goods of worldly life; for with Allah are many acquisitions. You [yourselves] were like that before; then Allah conferred His favor upon you, so investigate. Indeed Allah is ever, with what you do, Acquainted." (4:94)

Explanation:
The verse is elevating the status of those who are brave to stand up for truth and justice in the face of oppression. The verses elevate their status over that of those who cowardly hide from defending the rights of others, unless they have a disability, which prevents them from doing so.

The verse NEVER said go transgress freely, the "Mujahed" is the one who strives against injustice to defend Islam or to defend the oppressed and he is always bound by the rules of Jihad mentioned earlier and the first of these rules is NEVER TRANSGRESS. The Holy Quran says: "Fight in the way of Allah those who fight you but do not transgress. Indeed. Allah does not like transgressors." (2:190). The verse is stating those who strive in the path of God with lives and wealth are not equal to those who do not, which is logical.

So in the above noble verse God is encouraging Muslims to fight when ordered to fight and that order will NEVER happen unless they are attacked because a Muslim is always bound by the rules of Jihad when it comes to war.

Another point worth mentioning is that the one who needs to be encouraged to fight is always the weaker to whom fighting is more of a threat than a benefit. If you have the upper hand and you are the attacker then you have the loot to look forward to then the encouragement will have a different tone such as "The Big bounty is yours" which is clearly NOT the case here since God is promising Muslims who are courageous enough to fight a prize which is clearly mentioned in the following verse that says: "For them are ranks, forgiveness, and favours from Him. Allah is All-Forgiving, All-Compassionate." (9:96) so the prize is a higher rank in heaven and forgiveness.

Moreover, the verse supports the interpretation of Jihad as any struggle for the sake of God because it has mentioned those who perform Jihad with their wealth by donating it for a good cause, such as humanitarian organizations.
So why is it that any sensible person will consider such a verse violent I do not know.