First of all, the text does NOT say "will become." The word in the Greek is egenonto (εγενοντο). It is a 3 person plural 2 Aorist middle deponent. It is translated as HAVE BECOME. The kingdoms of the world being made into the Kingdom of "our Lord and of our Christ" was a PAST event in Revelation 11. Whatever that verse means, the timing of it falls within those things which were in JOHN'S day to SHORTLY take place. [...]
While I agree with your explanation of what Revelation 11's grammar is saying ("HAVE BECOME"), though not your application of it (which hopefully my view will become evident with the following part of my post...), I must disagree that Revelation 1:1 and 22:6 use the adverb "SHORTLY [adverb--or any other adverb like immediateLY, quickLY or soon--adverbs]";
Instead, those verses say, "... things which must come to pass IN QUICKNESS [NOUN]" (so this is saying that the "future" aspects of the Book--1:1[7:3]/22:6 / 1:19c / 4:1--are "things which must come to pass IN QUICKNESS [NOUN]"... NOT that they would start immediately / soon / shortly [as in the Preterist viewpoint] NOR that they would unfold over the course of some near-2000 [or more] years since the first century [as the Historicists have it], but that, when they start, they will "take place, or come to pass IN QUICKNESS [NOUN]"
[...] It is a PAST event according to Revelation 11:15 and not a future event.
Some of the reasons I see this as yet "future" is because of the "chronology" issues in His Olivet Discourse...
...where "the beginning of birth pangs" (EQUIVALENT the "SEALS" of Rev 6--which are a part of the "in quickness [noun]" time-period) as explained by Luke 21 shows how "the beginning of birth pangs (per Lk21:12) basically says that the 70ad events (vv.12-24) must come "BEFORE ALL THESE [before all these beginning of birth pangs (aka the seals) spelled out in vv.8-11--parallel to Matt24:4-8 and Mk13:5-8];
This means that the 70ad events (vv.12-24) must take place PRIOR TO "the beginning of birth pangs" (aka the seals) and these "seals" are a part of the "in quickness [noun]" things / time-period which immediately precedes and LEADS UP TO Christ's Second Coming to the earth Rev19...
... thus I cannot escape coming to the conclusion that those have not yet taken place (the "seals" plus then also the trumpets&vials")... and Paul confirms this same sequence in both 1Th5:1-3 (where he speaks of the INITIAL "birth PANG [SINGULAR]" that COMES UPON a woman, i.e. Matt24:4 / Mk13:5's "G5100 - tis - 'A CERTAIN ONE' ['a certain one' bringing deception]" aka, what we now know as "SEAL #1" [which, according to the SEQUENCE issues must come/take place AFTER the 70ad events])... and in 2Th, where Paul provides further confirmation of these [same or related] "sequence" issues.
I realize it is a tedious study ^ , but I find that many people gloss past this issue (re: the "sequence" issues in His Olivet Discourse), as well as coupling that matter with their insistence that Rev1:1 / 22:6 says "SHORTLY [adverbs]" rather than the proper "in quickness [noun]"... thus overall coming to incorrect conclusions.
My two cents. Thank you for hearing me out.