Let me write some more as What should I write more, there are a lot of things inside of me. If only you were right beside me and I could look at your eyes now. But there is less time left until September.

I understand from your analyse, gokuyum, that the difference is something like this (if we try sentences which are as close to one another as possible):

1) Ben [başbakanın daha sakin olmasını] rica ediyorum.

2) Ben başbakandan [daha sakin olmasını] rica ediyorum.

The hidden or visible indirect (ablative) object always belongs to the main clause, doesn’t it? If so, how does supposing it there or out of there take us any further? My idea was that in the previous example the governed clause is inlayed as a whole while in the latter the inlayed subject would actually be o/kendisi which means that the inlayed sentences would be something like

1) Başbakan daha sakin olacak.

2) O/kendisi daha sakin olacak.

Not that it matters so much to me. Actually I was just trying to translate something, got stuck and began to play with this thought.

rica ederim^^!

Kimin yatagında çektin bu fotoğrafı? çapkınlık yapma sakın

On whose bad you took this photo? Beware, don´t womanize 

konus be Gulum...

Speak my rose....

yok kiz Capkinlik yapmiyor... Yapmaz biliyorum icim cok rahat o yonden ;D

No girl. He doesn´t womanize. I know that he doesn´t. I am very confident about that. (not literal)

teyze oglum diye söylemiyorum ama yapmaz biliyorum sadıktır sevdigine sevdimi tam sever

I don´t say this because he is son of my aunt. But I know he doesn´t. He is loyal to who he loves. When/if he loves, he loves fully.

 tamam ayrlıycam

This is what the dictionary says about rica etmek:

I understand who is requested is marked with ablative, what is requested with accusative (not always), right? This is clear when we operate with noun phrases:

Rusça bilen bir arkadaştan yardım(object is not accusative here) rica ediyorum.

But I am a little unsecure when it comes to the situation where a complete sentence is inlayed into a main clause with   rica etmek  as its predicate:

Düğün fotoğraflarını çekeceğim. > Bir arkadaşım düğün fotoğraflarını çekmemi (benden) rica etti. (there is a hidden "benden" in this sentence) 

Köşk sahiplerine davet mektubu gönderecekler. > (Onlardan) Köşk sahiplerine davet mektubu göndermeleri rica edildi. (there is a hidden onlardan in this sentence)

As long as the inlayed subject is a personal pronoun you just add the equivalent possessive suffix in the end of the infinitive. But if the subject is a noun is it still going take ablative ending or will it take genitive and form a possessive construction together with the infinitive? I find both alternatives: (there is always an indirect object hidden or not in the sentence)

İsteyen tüm arkadaşlar katılacaklar. > İsteyen tüm arkadaşların katılmasını (onlardan) rica ederim.

Başbakan daha sakin olacak. > Ben başbakandan daha sakin olmasını rica ediyorum.

Ben is the subject of the main sentence.

başbakandan is the indirect object of the main sentence.

(kendisinin) daha sakin olmasını is the object of the main sentence.

Is there a difference in meaning? The genitive subject sounds more logical to me. Maybe the ablative word in the latter example is not an inlayed subject at all but a part of the main clause and the inlayed subject is (the dropped down) sg 3^rd instead?

Sorry guys, I think I answered it. 

I think the best way to translate a source text to a target language is to find out "how they would say it". The literal translation doesn´t often give the sense of the original..

If she forgot to pull the handbrake up and gear in N position before leaving the car, and the car rolled down and hit the tree, your version is correct..but if the car hit the tree while she was behind the steering wheel, mine is correct. 

My style? Did you say my style? Oh, gokuyum, you got so many credits now.