Not always. Although since Trump has become president, that seems to be the case. Take a look at our current government leaders favorable's among all Americans. President Trump 40%, VP Pence 37%, Speaker Pelosi 37%, Senate minority leaders Schumer 28%, Senate Majority Leader McConnell 25%. Questions 59A-F.
https://d25d2506sfb94s.cloudfront.net/cumulus_uploads/document/3kv2h8ad3b/econTabReport.pdf
You can take it to Congressional political parties, Democrat congressional 38%, Republican congressional party 31%, Question 78A and B.
Now this hasn't always been the case. Trump is very unusual, his approval has been between 37%-46%. It seems events, major happenings, nothing really effects his approval more than a couple of points up or down. This is unheard of and hasn't been seen before. Every other president approval has been tied to what he did or didn't do, major events in the world and at home. But none of that effects how people view Trump. Take a look at how much fluctuation between highs and lows other presidents had.
Trump Highest 46% Lowest 37% Average 41%
Obama Highest 69% Lowest 38% Average 47.9%
Bush (G.W.) Highest 90% Lowest 25% Average 49.4%
Clinton Highest 73% Lowest 37% Average 55.1%
Bush (G.H.W.) Highest 89% Lowest 29% Average 60.9%
Reagan Highest 68% lowest 35% Average 52.8%
Carter Highest 75% Lowest 28% Average 45.5%
Ford Highest 71% Lowest 37% Average 47.2%
Nixon Highest 67% Lowest 24% Average 49.1%
Johnson Highest 79% Lowest 35% Average 55.1%
Kennedy Highest 83% Lowest 56% Average 70.1%
Eisenhower Highest 79% Lowest 48% Average 65.0%
Truman Highest 87% Lowest 22% Average 45.4%
Every other president has had an approval rating at least in the 60% range at sometime during his presidency, most have reached into the 70's. Trump hasn't as of yet hit 50%. He's pretty much had a straight line on job approval. Now that is interesting. That tells me that there is much more going on with Trump than the job he has done and is doing or events taking place. We've never been so divided and polarized politically as a nation as we are today.