Are these correct?

Sen de kucaklamam istiyorum
I want to hug you
Ben de kucaklaman istiyorum
I want you to hug me

I want to hug you
Seni kucaklamak istiyorum

I want you to hug me
Beni kucaklamanı istiyorum

merhaba!

I want to hug you= sana sarilmak istiyorum
I want you to hug me= bana sarilmani istiyorum

istemek does not ask the accusative suffix when the subject of the two clauses is the same (I want/ I hug)
istemek asks the accusative suffix when there are two clauses and two subjects (I want/ you hug)

Cay icmek istiyorum= I want to dink tea
I want to love you= Seni sevmek istiyorum (the same subject -I)
I want YOU to love me= beni sevmeni istiyorum (two subjects: I and You)
I want him to love me= Beni sevmesini istiyorum

etc, etc

Thanks for your explanation - although I am not sure I fully understand them without reading them a few more times!!!

But this still does not explan why the full infinitive is used and not the possessive partial infinitive. For example why:
Seni kucaklamak/sarılmak istiyorum
and not:
Seni kucaklamamı/sarılmamı istiyorum