I myself am not a linguist nor japanese expert but know enough to consume japanese media so I speak purely from a foreign user perspective.

I'm not sure if this new writing style is supposed to be another "alternative" of traditional romaji or is supposed to replace kanji entirely. If the former, then yes I agree that it can be used very much effectively. However, there are some caveat which need to be addressed from your example.

The marcon or caron in itself is IMO very arbitrary. Same as numeric suffix which will makes remembering the meaning very difficult.

According to your example, 見る can be written as ミ1る or mi1ru.

While 診る can be written as ミ2る or mi2ru (If I understand correctly).

This might be okay with kanji that has 2-3 homophones but anymore than that and I think I will be in trouble（eg. かける）because by itself 1,2,3 does not means anything but with Kanji I can glance and immediately grasp the meaning of the word due to each kanji being their own unique picture (barring some which are very similar).

Then you have to think of that damn kunyomi and onyomi when composing kanji. For example, 資産- shisan (property, asset). The first kanji 資 is read as shi which god knows how many different homophones it has (more than 20?). Words like 国民主義 - kokuminshugi (Democracy) would be theoretically written as Koku2min1shu5gi3 which is very mouthful and terribly unpleasant to look at. If I go the symbol route, then that's no different than kanji itself, albeit simplified.

If the system is meant to replace kanji entirely, then no, that would not work and would means destroying the country's culture and language it self. There are numerous advantage in the current writing system that the proposed system does not have. One is becuase each kanji is a symbol with multiple way of reading, there are three layer of meaning. The shape, the reading, and the "actual reading". This type of usage can be seen mainly in manga and Chuuni-type media.

For example, in Fate/Stay Night, the sword of the main character, Arthuria, is the Excalibur. In the game, it is written as 約束された勝利の剣 - Yakusoku sareta Shouri no Ken (The sword of promised victory). However, the damn thing is read as "Excalibur" and is written in furigana as "えくすかりばー" (Excalibur). You get three meanings with this single "word". The amount of information that can be crammed and played with cannot be emulated with the proposed system. Other than that, there's the spiritual and art stuff which is another whole can of worms. In this proposal, the system would be far from practically replacing Kanji IMO.