So let's look at the definition:
Fascism:
a political philosophy, movement, or regime (such as that of the Fascisti) that exalts nation and often race above the individual and that stands for a centralized autocratic government headed by a dictatorial leader, severe economic and social regimentation, and forcible suppression of opposition
1. Exalts nation and often race above the individual.
No, most conservatives, while they are very patriotic (some would call it nationalism), are geared toward individual liberty. They believe the people have rights and are the driving force behind the nation.
They are proud to be an American, but want government limited in their lives. This means they dont hold fealty to the government but rather the government should be working for them.
The left, however, generally want more control placed in the hands of government to be able to regulate virtually every aspect of our lives.
2. Centralized autocratic government headed by a dictatorial leader.
Again, the right believes in limited government. They believe the government has specific duties to serve the citizen, beyond that, the power resides with the state and the individual.
Again, the left seem to want to give more power to the government.
3. Severe economic and social regimentation.
The right believes a person should be able to make as much money as they want, without the government digging its hands into their pockets. They also believe that an individual should have the freedom to live as they choose as long as it doesnt interfere with the right and freedoms of their own lives.
The left believe the government should take any money it deems necessary when it feels like an individual has made too much.
3. Forcible suppression of opposition.
Well, this one can clearly be pointed toward antifa, whose main goal is the forcible suppression of opposition. It goes beyond that, however. The left also prefer the silencing of the opposition by removing them from social media platforms, and continually calling the support of conservative ideology, hate speech.
Fascism seems to have more in common with left wing ideology than it does the right.