No, American combat aircraft did not take part in the Yom Kippur war. I never said they did.
However, American aircraft carriers (Roosevelt and Independence and the amphibious assault craft Guadalcanal) moved into the region in large part to thwart saber rattling by the Soviet Union, which demanded that: A) the United States reign in Israel, B) demanded a US-Soviet "peace keeping" force in the region, and C) threatened to unilaterally send in combat troops if the United States refused A and B.
At the time Israel finally stopped ignoring the cease fire accord and ceased combat operations, around October 26, IIRC, the United States was moving at least two more carriers towards the region.
American carrier assets, as well as very strong statements from the US, forced the Soviet Union to back down on its threat to send combat troops into the Middle East in support of Egypt and Syria.
In essence, it's likely US naval strength prevented a whole new world of hurt from coming down on the already stunned Isralie military.
"one is now at peace with Israel."
Wow! I didn't know that! That means, of course, that since there's PEACE between Israel and Egypt that there will ALWAYS be peace between Israle and Egypt, that absolutely NOTHING will ever change that! Amazing how that works, isn't it? What is ever shall be without end, Amen!
"Finally, the US military's purpose is to defend... wait for it, I'm going to name the country... AMERICA."
On that we actually agree. I've never thought Israle to be: A) particularly worth aiding militarily or monetarily, B) worth the hassle with the Arab states, C) a friend.
As for the "defending America" bit, I happen to agree with the concept that defense isn't limited to the 200 mile coastal zone around the US continental shelf. Adequate national defense IS a global proposition, more so today than it was in 1973.