@Walter Hinteler,
I doubt any of the "hard-core" Trump supporters were present during the discussions that led to the decision as to which nations to singled out so what are you actually asking?
I don't think I fit the definition of "hard-core" Trump supporter but perhaps you'll allow me to speculate and opine base on what I have thus far read and heard.
1) It's not a Muslim ban. You'll notice Indonesia and about 30 or so other predominantly Muslim nations aren't on the list either.
2) The seven nations involved were all described by Obama Administration officials as "hotbeds of terrorist activity." I don't have 100% faith in the US Intelligence Community but I doubt they were far off the mark on their assessment, and repeated it, to one extent or the other, to Trump and his advisers. Saudi Arabia and Egypt, while hardly the average Christian American's home away from home, were not included on their list.
3) Part of the problem with vetting refugees or anyone trying to immigrate to the US is the absence, in some nations, of 21st Century databases which US authorities can access, either with or without the permission of their owners. Not the case with Saudi Arabia and Egypt
4) While I wouldn't consider either country to be a bosom buddy of the US, their interests are in many ways aligned with ours and their leaders cooperate with ours in terms of intelligence gathering. It's a shadowy world and I wouldn't be surprised if there are double crosses going on all the time, but US relations with these nations are much more valuable than those we have with any of the 7, EO included countries (including Iraq. Trump didn't inherit the GOP's sense of responsibility for the place from W.
I thought you guys liked leaders who look at the big picture and don't apply a one size fits all approach to the world or are motivated by overly broad scoped crusades. You know, sophisticated and nuanced guys, not cowboys like W.
5) I suppose it's possible that the fact that Trump's organization has business interests in these countries might have something to do with it, but this seems the least likely of all reasons. I don't believe the Trump Empire will rise and fall on whatever projects he may have in these countries, and I suspect that at this point in his presidency, at least, success with his agenda is more important to him than a few more dollars in the Trump coffers.