Is There Any Formal Alliance With Taiwan or Israel?

There is no formal treaty of any sort or formal agreement with Israel. With Taiwan, I believe there was one, but it was undone when Nixon recognized the PRC in the 70s and agreed to the so-called one China policy. The more delusional right-wingers think that for example, if the US broke up into formal pieces, they think that all of a sudden the people's liberation army is like going to show up in Sacramento tomorrow.