Mars in Libra have a particular problem: It'll tend to be the strongest against the weakest , and the weakest against the strongest , it has the tendency of abusing and be abused around the life of the native.
What?
Its like saying that Venus in Virgo, Scorpio, or Aries lacks of capacity to love, and lacks of sense of beauty and esthetic.
It only means that Venus sense of beauty is mercurial, plutonian-martian. But it doesn't makes a person incapable of loving.
Venus makes love in a different way Taurus or Libra suggest to.
But it loves!
A planet in detriment or fall doesn't make you weak or strong, it only works the opposite as it has to. It operates in other way.
Mars in Taurus or Libra will solve conflicts in a Venusian way. And those are people who relate sex with love. Must of the time they have sex with people they really love. As well as Cancer Mars. Must of the time they don't enter in the category of people who can have sex with anybody or people just like but not love.
They are good solving love problems of others, family problems, money problems, they can be excellent match makers, etc.
The bad thing about this is that this Mars (libra, taurus, cancer) doesnt always externalize their anger to others because, Mars in this sign is sensible to what others can feel, in spite you are pissed off. They prefer to take distance and manifest their anger in a passive way for example:
Example:
there is a person pissing your group of friends off.
Your friend that has Mars in Aries will say: Stop or Ill punch you in the face.
The one with Mars in Scorpio will say: Do you want me to rip your head off?
Mars in Capricorn: Will just go and punch him in the face.
the Mars in Libra one: Will just try to dialogue with such person
the Mars in Cancer will: just support he's friends but wont fight.
The Mars in Taurus will: "Poor guy let him alone he must have some problem, so lets go away and ignore him"
You see?
The three friends with Mars in fall and detriment will defend them selves also (but at their way), but not as their confrontational Mars in Cap, Aries, and Scorpio friends do.
The ones with Mars in Libra, Cancer, and Taurus are not defending as Mars suggest to. Mars doesn't dialogue, Care about aggressors feelings, or just ignore them.
Mars in fall or detriment will not go and search for the aggressor to punch him in the face. They will do it if the aggressor come to them personally to bother them. And they will punch them hard!
And in spite someone is being disrespectful, going to punch him in the face at first instance as Mars in domicile or exaltation do. Doesn't mean they are stronger than Mars in detriment or fall that will prefer to fight when they don't have other option.
Other example: Mars in domicile or exaltation will go and say someone in it face: Hey dude! I really don't like you at all!
Mars in detriment or fall will only just avoid or ignore people don't like.
This doesn't makes you the strongest of the weakest, and the weakest of the strongest. There may be other aspect in your chart pointing this. But Im sure its not your Mars.
I will recommend you to check your Moon, or the position of your Saturn too se why you feel like that, maybe check also your 11th house, and 2nd house