In reality the US has one of the smallest percentages of Muslims of any Western country. The number of Muslims in the US is approximately 4.5 million, 1.5% of the population, one of the smallest minorities in the US. Since there are approximately 1.5 billion Muslims in the world, the number of Muslims in the US is approximately 0.3% of the world Muslim population. By comparison there are between approximately 6 million Jews in the US, who account for approximately a third of the world's Jewish population. Whereas many Americans regard it as a society based on "Judeo-Christian values", it is doubtful if there is one sane American who would define it as a Jewish country.
By President Obama's yardstick, France, Germany, the UK, Spain, Italy and Holland should all be regarded as "Muslim nations". In France, which has the biggest Muslim population in Europe, its 4.5 - 5 million Muslims account for 7.5% of the population. In most other Western European countries, Muslims account for approximately 3%-5% of the population.
The only EU citizens who regard their societies either as Muslim ones, or as societies that should be Muslim are those Muslim immigrants and the 2nd generation who have not succeeded in integrating into the societies in which they live, and as a result have become alienated from them. Even if half of Europe's Muslims have this attitude (most likely the true number is far less), we are talking at most about 2%-3% of those countries.
India has 150 million Muslims (13%), making it the country with the world's biggest Muslim minority, and the world's third largest Muslim population after Indonesia and Pakistan. No Indian in their right mind, let alone the Prime minister would ever regard India as a Muslim country.
Obama is correct in saying that Americans should increase their knowledge and understanding of Islam. But from there to claiming America is a Muslim country seems to be a bit of a stretch, not supported by any facts.