'mutual confrontation' is correct and usable in written English.
You can use 'mutual confrontation' to refer to a situation in which two people or groups are in opposition to each other. For example, "The mutual confrontation between the two countries has caused tensions to rise."
Technology has undeniably had a positive effect on music as well: The technical level of young musicians today is astonishingly high; instantaneous access via the Internet to the great masterpieces could lead to an increase in musical literacy; and the mutual confrontation and merging of different musical cultures could result in a quantum leap to a new stage of the art.
And it is precisely this lament that, at its best, makes space for mutual confrontation.
The mutual confrontation between the Maravars and Nadars reached its peak in 1899, leading to a series of riots which became to be known as the Sivakasi riots.
As elaborated by the smooth Mr Wang in Washington, it is an admirable idea, based on Mr Xi's formula of "no conflict or confrontation", "mutual respect" and "win-win co-operation".
Tillerson, who was on his first visit to Asia since taking over at the State Department, and was travelling without the press gaggle that usually chronicles the movements of America's top diplomat, agreed that "the U.S. side is ready to develop relations with China based on the principle of no conflict, no confrontation, mutual respect, and win-win coöperation".
According to an official who was briefed on the meeting, the encounter was uneventful, until the end, when Tillerson made a striking diplomatic slip: he told the Chinese that he was hoping for a relationship with "no conflict, no confrontation, mutual respect, and win-win coöperation".
During his visit to the US in June 2013, China's current leader Xi Jinping further defined the concept of "new model of major country relationship" as no conflict and no confrontation; mutual respect; and win win cooperation (Lawrence 2013).
"I place great importance on the China-US relationship, and look forward to working with you to uphold the principles of non-conflict, non-confrontation, mutual respect and win-win cooperation," Xi was reported to have told Trump.
when he congratulated Donald Trump for winning the election, Xi vowed that he would partner with the new U.S. President "to uphold the principles of non-conflict, non-confrontation, mutual respect, and win-win coöperation".
What's more, while in Beijing, Tillerson announced that America was seeking a relationship with China built on "non-conflict, non-confrontation, mutual respect, and win-win cooperation". If that sounds wooden it's because it's a formulation invented by the Chinese.
-- No Conflict -- No Confrontation -- Mutual Respect -- A "Win-Win" Approach To Mutual Cooperation.
