This does not actually make sense. Did you mean 'je crois que nos deux alliances ont été amis'? This means 'I believe that our two alliances were friends'.
mes amis - my friends
J'ai des amis=I have friends.
chers amis means 'dear friends' in French.
un ami > a frienddes amis > friendsune bouche > a mouthso "amis bouche" would means "friends mouth" :)
Et ses amis means 'and his friends' in French.
"à tous mes amis" = "to all my friends"
Voir mes amis means 'to see my friends' in French.
close friends
and your friends
Deux means 'two', but 'paux' doesn't mean anything in French.
This translates literally as 'The friends of my friends are my friends'. In good English 'My friends' friends are my friends also'.
deux means 'two' in English.