Why do they want to be in the US and Europe?

To conquer all nations, spread islam to every continent and be the dominators; therefore their violence, demands, rapes of women/girls/boys, beating up & stealing from seniors - that is their history thru time also. And citizens pay for them to live/breed too.
Do we owe them something?
American & EU citizens don't owe them anything BUT what did the gov't leaders take from the saudis to allow this to happen?