I think this is achievable with a post 1900 POD as well. Have Israel either not exist or have it occupy Uganda or any other non-Muslim land. US foreign policy is still oriented to Muslim countries such as Pakistan and Somalia (the people there having a better opinion of the US because of no/different Israel). Alongside this, have a Stalin who lives longer kill millions of Jews and Muslims (a la Twilight of the Red Tsar) which makes America even more sympathetic to Jews, but there also emerges a sympathy for Muslims especially after the Muslim world tries to establish a broad Turkic Central Asian country (the individual ethnic groups are now too small to make a country). Also have a Muslim country collapse in a communist vs anti-communist civil war and have most of the refugees go to America. Eventually by the 2000s the number of Muslims in America are the same as Jews, and they are a solid conservative voting bloc as they were pre-9/11.
Either that, or you could have the Iranian revolution go differently and giving way to a democratic Iran, leading to little American distaste for the new Iranian government. Israel be a lot more aggressive in the Middle East and eventually there is an accident, with an Israeli jet bombing the American marines in 1983 instead of extremists, leading to America slowly drifting away from them. Israel feels betrayed and eventually adopts a fortress mentality vis a vis the Middle East, and eventually a government takes control which isn't fully anti-American, but very critical of the US (akin to some of the leftist governments in Latin America). However this new government is not a leftist one, and is a lot more aggressive with the Palestinians, leading to an infitada which is broadcast on American television, and the media shows mostly Israelis attacking Palestinians instead of the other way around, leading to even more American sympathy. Somalia staying together could butterfly the disastrous intervention, Saddam dying in the 1980s could lead to no Gulf War and no stereotypes of Arab leaders being like Saddam, and a Gulf War-esque intervention in Yugoslavia to save the Bosnians and Kovosars will endear America to the Muslim World. Russia becoming anti-American in the 1990s (be it controlled by a far-right or far-left government) will lead to American sympathy for the Chechens, as this Russia either goes through the same path or is even more brutal than IOTL. By 2010 the US is skewed towards the Arabs, Israel is distrusted and there is no Muslim extremism towards the US.
I know these are both post 1900 pods but I found these interesting, and they basically answer your question of "How can Muslims be viewed in a positive light?".