Your idea will not work. Here is why:

(X) "7am" is a social construct

(X) social constructs are actually very important

(X) the day of the week shouldn't change in the middle of the solar day

(X) this would further ambiguate the word "day"

(X) local "midnight" should be the middle of the local night

(X) timetables would become unreadable

(X) nobody would agree to pick your time zone over theirs

(X) how will I know when I can call you?

(X) time zones exist specifically to resolve the problems with that scheme

Specifically, your plan fails to account for:

(X) humans

(X) rational hatred for arbitrary change

Furthermore, this is what I think about you:

(X) sorry, but I don't think it would work

(X) this is a stupid idea, and you're a stupid person for suggesting it