Entering this country is a privilege. I don't disagree with that. And if the US can prove a person thinks these things... that's great. Not sure how they can do that though routinely and effictively.
Not sure I agree its equivalent to the pedophile case though. The US is not actively bombing or disrupting whole communities of pedophiles thereby creating more pedophiles... We are in fact doing that in many countries thereby creating more people who are anti-US under the guise of spreading democracy and nation building.
I think you nailed the issue.
Who should have the burden of proof for deomnstrating that an immigrant is not sympathetic to extrmeist groups, the host nation or the immigrant?
On the one hand, you'd like to assume that a person who comes to our country must like our country. This has generally been the presumption. But its had its reasonable limits. Japanese during WWII... Russians during the Cold war... they were held to a different level of scrutiny. If a country had an Ebola outbreak, it seems like it would be reasonable to assume that the person was infected unless there was some system to prove otherwise.
The problem is no one is convinced that Europe or the US have any effective way of determining who is who, and so people are rightly hesitant to continue to let people in from nations that have terrorists armies, like in Syria. You might be willing to take this risk, but lots of people aren't. That doesn't mean they presume everone who is rejected is a terrorist.
As far as the roots of terrorism, that is neither here nor there. I doubt Pres. Obama or anyone else would get far with the American people claiming, "its our fault that Muslim extrmeists exist, so we have to have low standards about who we take in."
And the reason that people aren't worried about importing Bhuddist terorrists is pretty darn obvious: Bhuddists aren't trying to establish a world caliphate by force. Bhudda didn't tach anything like that.
Bhuddist in most countries are almost an icon of peacable behavior. The article you linked to ironically shows that even the Bhuddists have been riled up--to incredible excess--mostly by the Muslims. They scare them because of Muslim beliefs. At most, it shows that some Bhuddists countries like (every?) Muslim countries, are intolerant and suspicious of minorities religious groups. That is an argument for not traveling there. But I haven't heard of those countries exporting that ideaology. Islam, like Communism, is a universal idealogy that exports. Not every idealogy works this way. For example, the idea of the German's as a master race was not likley to fly in England or Russia.