Answers

2015-05-08T18:46:29+05:30
He found himself talking to Bill Clinton! Not that Bill Clinton, of course, but someone with the same name.

This would be the answer if we don't have to insert more than one word.

Answer Justification:
This is the answer because we are telling the reader that we're not referring to the Bill Clinton they know about (e.g. whom they were introduced to earlier in the story et ceter ), but we're referring to someone else with the same name.
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2015-05-08T18:48:05+05:30
He found himself talking to Bill Clinton! Not ____that________Bill Clinton, of course, but someone with the same name.
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