Sen. Kamala Harris has been running for president for less than two weeks, and Fox News is already crowning her the “Democratic front-runner.”

Whoa, whoa, whoa. Let’s tap the brakes, people. Consider:

• It’s nonsensical to anoint a front-runner when not everyone who’s going to run has started running. At least wait until if and when candidates with higher name recognition like Sen. Bernie Sanders (who will run) and former Vice President Joe Biden (who is still doing a Hamlet) jump in. Might also want to wait for a debate or two before dusting off the front-runner crown.

• Most of America is just getting to know Harris. A Morning Consult survey of registered voters released Wednesday shows that 35 percent of respondents had not heard of her and that 17 percent had heard of her but hadn’t formed an opinion about her. Among Democratic voters, Harris was the third-most-popular choice for president — behind Biden and Sanders.

• Harris’ camp touted her strong first 24 hours of fundraising, when she raked in $1.5 million. That is formidable. But let’s see how much money she raises in the first quarter of the year. That’s a more accurate marker of fundraising prowess. That’s why she’ll be putting on two fundraisers in Hollywood over the next couple of days.

• Let’s see how she handles challenges from her fellow Democrats. We might not even have to wait for the debates to start.

Harris has already gotten pushback from her full-throated endorsement of a government-backed Medicare-for-all health plan that would get rid of private insurers. When CNN’s Jake Tapper pointed out during a town-hall meeting in Iowa on Monday that people who liked their current insurance wouldn’t be able to keep it, Harris dismissed the notion by citing health insurance red tape and saying breezily, “Let’s eliminate all of that. Let’s move on.”

Calling for Medicare for All, Kamala Harris says of private insurance: ”Let’s eliminate all of that. Let’s move on.” pic.twitter.com/xT2I5IZDfT — Shane Goldmacher (@ShaneGoldmacher) January 29, 2019

Harris’ endorsement of Medicare for all was nothing new for her, but the reaction this time was swift. Former New York Mayor Michael Bloomberg, who might run for the Democratic nomination, said the plan that Harris supports would “bankrupt us for a very long time.” Former Starbucks CEO Howard Schultz, who isn’t winning any fans in the Democratic Party with his talk of an independent campaign in 2020, called it “un-American” and “unaffordable.”

Interestingly, Harris’ staff walked back her town-hall comments just a bit, saying “she has co-sponsored other pieces of legislation that she sees as a path to getting us” to health care reform. Among them are bills that would create a public option for health care insurance while maintaining a private insurance industry.

However, a Harris spokesman told CNN, a government-run health insurance system “is the plan she is running on.” That might appeal to the party’s primary electorate: Wednesday’s Morning Consult poll found that 57 percent of Democratic voters would be more likely to support a candidate who backs Medicare for all.

Remember: Harris has not been in a competitive campaign since her 2010 California attorney general race against Republican Steve Cooley, which she won by one percentage point. (We’re not counting her 2016 Senate race against Loretta Sanchez as good practice for the rigors of a presidential contest — not unless Bernie Sanders dabs in the first debate.)

Did Loretta Sanchez #dab at end of Senate debate with Kamala Harris? What do you think? @NBCLA pic.twitter.com/YeAb0zYWsj — Adrian Arambulo (@AdrianNBCLA) October 6, 2016

So yes, Harris did have a strong campaign rollout. But it is too early to crown her — or anyone — the front-runner.

The Starbucks spoiler? Former Starbucks CEO Howard Schultz’s presidential exploratory campaign limps into San Francisco on Friday after a choppy first week of what was supposed to be his cheery introduction to America as a potential independent candidate.

Instead, the former Democrat has spent most of his time explaining why his candidacy wouldn’t siphon votes from the Democratic nominee in 2020 and make President Trump’s re-election a lot easier.

As a heckler at the first stop of Schultz’s book tour Monday in New York succinctly explained the anti-Schultz position: “Don’t help elect Trump, you egotistical billionaire asshole!”

Welcome to the presidential campaign!

Schultz has a couple of things to explain to his San Francisco audience:

• He calls Trump “unqualified” to be president. Like Trump, Schultz is a billionaire CEO who has never served in elected office. So how is he qualified?

• He may be a former Democrat, but he’s spent much of the week ripping the progressive agenda proposed by his likely 2020 rivals. He called California Sen. Kamala Harris’ support of single-payer Medicare for all “un-American” and “unaffordable.” He said Massachusetts Sen. Elizabeth Warren’s proposed tax on the super-wealthy is socialistic. He’s got to explain why those positions are bad without sounding like a guy worth $3 billion who doesn’t want to pay more in taxes.

• So what’s he for — other than being independent? What does he want to accomplish, other than heading off progressive Democrats’ agenda?

The question I think we all should be asking ourselves is: at this time in America when there's so much evidence that our political system is broken - that both parties at the extreme are not representing the silent majority of the American people - isn't there a better way? pic.twitter.com/Gy1wf1cf8F — Howard Schultz (@HowardSchultz) January 28, 2019

• He also must show that there’s a constituency among what he calls the “silent majority” of voters frustrated at partisan gridlock. The last independent candidate to do much of anything in a presidential campaign was rich guy Ross Perot in 1992. The last independent candidate to win the presidency was George Washington. That’s pretty weak precedent.

Schultz will appear at the San Francisco Jewish Community Center promoting his new book, “From the Ground Up: A Journey to Reimagine the Promise of America.” The event is sold out, as is Schultz’s Feb. 19 appearance at the Commonwealth Club in San Francisco.

Both events should be feisty, if this week is any precursor.

Joe Garofoli is The San Francisco Chronicle’s senior political writer. Email: jgarofoli@sfchronicle.com Twitter: @joegarofoli