Your poor grammar makes this question un-answerable.
term for the president as the leader of his or her political party.
yes
They do not have a president as such however they do have party leader and the current scotish party in power is the scotish national party is Alex Salmond.
Party Leader
That role would be party leader-- the leader of his political party.
President Harry S. Truman.
Ed Milliband has just been elected leader of the Labour Party. It hasn't got a president.
Alexander Hamilton was a political leader but was not born in the US and could not be President. The Communist Party was outlawed at one time and its leaders could not run for President .
Because you are a monkey
Abraham Lincoln
When the Senate is deadlocked at 50-50, the Vice President of the United States serves as the tie-breaking vote, effectively giving the party of the Vice President the majority. Therefore, the party with the Vice President in a tie situation assumes control, allowing their leader to be recognized as the majority leader. For example, if the Vice President is from the Democratic Party, then the Democratic leader would be considered the majority leader, despite the split.
The President is traditionally the leader of his or her political party.