That statement checks out fine but it needs to be emphasized that there are currently 1.6 billion Muslims in the world today. That's 23% of the global population. Islam is currently the second largest religion, but it is the fastest growing. Although many countries in the Middle East, North Africa region, where the religion originated in the 7th century, are heavily Muslim, the region is home to only about 20% of the world's Muslims. A majority of the Muslims globally (62%) live in the Asia-Pacific region, including large populations in Indonesia, India, Pakistan, Bangladesh and Turkey. These are countries mostly friendly to the United States. You would have a hard time finding immigrants from any country outside the western hemisphere, more well-prepared to assimilate into life in the United States than Indians.
Basically, only a tiny fraction of 1% of Muslims are radicalized. Your statement that not all Muslims are terrorists is an understatement to say the least. Banning Muslims only because of their religious faith is not only bigotry, it doesn't even make any sense. The population is too large and involves too many countries friendly to the United States where there is no threat of terrorism