A Certificate of Live Birth is not the same as a birth certificate. Mr. Berg thinks that bho was likely born in Kenya and brought to Hawaii a day or 2 later to get a certificate. At 18, his mother was not old enough to automatically confer US citizenship on him if he was born outside the US. In addition, Mr. Berg thinks that even if he is wrong about the birth (which he is pretty sure he is not) he claims that when bho was adopted by Soetoro, he became an Indonesian citizen thereby losing any US citizenship he may have had. We do know bho went to Pakistan (most American kids go to Ft. Lauderdale or South Padre Island but not bho!!) on an INDONESIAN passport when he was 20. I hope this is true and he spends time in a federal gray bar hotel.
In addition, Mr. Berg thinks that even if he is wrong about the birth (which he is pretty sure he is not) he claims that when bho was adopted by Soetoro, he became an Indonesian citizen thereby losing any US citizenship he may have had.Not true according to the State Department. See this note on dual nationality on their web site. Use of a passport by a dual national is not grounds for loss of American citizenship. In fact it is expected in some cases.
They also say that a child cannot lose their citizenship as a result of naturalization in another country. In fact an adult most likely wouldn't either. See this note on Renunciation of U.S. Citizenship. If you enjoy court decisions read Action and Deltamar v. Rich, 951 F.2d 504. That case establishes that citizenship is not lost even when taking an oath for naturalization that specifically renounces citizenship in a country that does not allow dual nationality.
The one allegation that would make a difference is if he was actually born in Kenya but a lack of standing will make that case almost impossible to get into court. See Hollander v. McCain, the challenge to McCain's eligibility, to see why this case will quickly be dismissed for lack of standing.
See my about page for more references on the eligibility.