Can Nibbana be experienced by believers in 'rebirth-reincarnation'? SN 22.59 states experiencing Nibbana requires the dispassion (viraga) that occurs from completely realising the impermanence, unsatisfactoriness &amp; not-self of every type of consciousness &amp; the other four aggregates. 


  Now what do you think of this, O monks? Is consciousness permanent or impermanent?
  
  Impermanent, O Lord.
  
  Now, what is impermanent, is that unsatisfactory or satisfactory?
  
  Unsatisfactory, O Lord.
  
  Now, what is impermanent, unsatisfactory, subject to change, is it proper to regard it as: 'This is mine, this I am, this is my self'?
  
  Indeed, not that, O Lord.
  
  Therefore, surely, O monks, whatever consciousness, past, future or present, internal or external, coarse or fine, low or lofty, far or
  near, all that consciousness must be regarded with proper wisdom,
  according to reality, thus: 'This is not mine, this I am not, this is
  not my self.'
  
  O monks, the well-instructed noble disciple, seeing thus, gets wearied of form, gets wearied of feeling, gets wearied of perception,
  gets wearied of mental formations, gets wearied of consciousness.
  Being wearied he becomes passion-free. In his freedom from passion, he
  is emancipated. Being emancipated, there is the knowledge that he is
  emancipated. He knows: 'birth is exhausted, lived is the holy life,
  what had to be done is done, there is nothing more of this
  becoming.'"
  
  This the Blessed One said. Pleased, the group of five monks were delighted with the exposition of the Blessed One; moreover, as this
  exposition was being spoken, the minds of the group of five monks were
  freed of defilements, without attachment.
  
  Indeed, at that time there were six arahants in the world.


Many suttas describe Nibbana as the ending of the perception (sanna) &amp; asava (defilement) of 'becoming' (MN 121) and the calming of all formations (MN 26; sabbasamathosankhara). 

Therefore, can the thought of or belief in 'rebirth' in the mind result in Nibbana? 

Is the belief in 'rebirth-reincarnation' not a type of 'becoming' &amp; not a 'thought formation'?
"Therefore, can the thought of or belief in 'rebirth' in the mind
  result in Nibbana?"


No, it can't.

In the same way, the thought of or belief in "non existence of rebirth" in the mind, can't result in Nibanna.


  "Is the belief in 'rebirth-reincarnation' not a type of 'becoming' &amp;
  not a 'thought formation'?"


It is a type of "becoming" and a "thought formation".

In the same way, a belief in "non existence of rebirth-reincarnation", is a type of "becoming" and a "thought formation".

When a thought or belief arises in a being due to ignorance, that being clings and craves on that thought or belief. This clinging and craving will not result in Nibanna.

When a thought arises in a being due to wisdom, that being does not cling nor crave on that thought. This absence of clinging and craving will result in Nibanna.

A belief is something that is accepted as the only truth. Thus, no belief can ever arise in a being who truly destroyed ignorance. That would be impossible. The one who destroyed ignorance, dwells in wisdom. He is the knower of the truth. How could the knower of the truth say "this is the only truth", when he knows "all truths are non truths"? That would be impossible. That's why the knower of the truth stays in the middle.