With respect, this question doesn't make sense.
Hitler maintained power as Germany was in a time where many people were unemployed and hitler gave jobs to Germans to fight in the war and kill jews
Hitler's mom died before WW2 in a fight against breast cancer.
Hitler was not against Islam, but he believed that everyone who was not German was inferior. The Italians and Japanese, Germany's allies, were considered to be almost as superior.
Hitler started killing Jews and invading other countries joined to stop Hitler killing all Jews and lots of other people
Assuming that the question is asking how Hitler justified that the Jews continued to exist when he saw them as inferior human beings, Hitler believed that Jews existed because they were deceitful and able to control other populations to fight in their defense. He was opposed to their continued existence, which was why he pioneered the mechanized genocide of the Jews.
There was no link worth taking seriously. Obviously, racial antisemitism has its origins in 'Christian' anti-Judaism, but the Nazis did not claim that they were exterminating the Jews on behalf of Christianity or anything like that.
Hitler thought of Jews as vermin.
When did Hitler begin to eliminate the Jews in Europe
No Jews 'helped Hitler in elections'.
Hitler hated the Jews.
Yes. Hitler held that Jews and Communists served as a disloyal fifth column. Of course, the statement is objectively false. Numerous German Jews and German Communists fought on behalf of the Second Reich in 1914-1919 and some even earned medals for their valor and courage.