There is evidence that some right-wing activists are publicly exposing individuals accused of celebrating Charlie Kirk's assassination, but the claim of a soon-to-be-available searchable database of nearly 40,000 leftists with their employers is not substantiated by the sources.
An online searchable database of nearly 40,000 or more leftists celebrating Charlie Kirk's assassination will soon be available - along with their employer.

FactVerify
Source: factverify.com
Key Evidence
WIRED and NPR report right-wing activists publicly exposing people accused of celebrating Kirk's death, leading to job losses and threats.
wired.comwired.comRight-Wing Activists Are Targeting People for Allegedly Celebrating Charlie...
npr.orgnpr.orgCharlie Kirk critics are being targeted online and losing jobs : NPR
The New York Times confirms a fast-moving campaign targeting critics on social media but does not mention a large searchable database.
nytimes.comnytimes.comRight-Wing Activists Urge Followers to Expose Those Celebrating Charlie Kirk...
No source mentions a database with nearly 40,000 names or employer information being made available soon (all sources).
What the Evidence Shows
The search results confirm that after Charlie Kirk's assassination, there has been a notable backlash involving right-wing activists targeting people alleged to have celebrated his death. Several sources (WIRED, NPR, The New York Times) report that these activists are posting identifying details about such individuals online, which has led to job losses and threats.
However, none of the sources provide credible evidence or mention the creation or imminent release of an online searchable database containing nearly 40,000 names along with their employers. The numbers cited in the claim are not supported by the available information.
Additionally, while there are reports of social media posts listing politically conservative targets and some individuals being publicly named, the scale and specific nature of the database described in the input cannot be verified. The sources also highlight that this is a highly charged and contentious environment with ongoing online conflicts and retaliations from both sides.
Therefore, the claim as stated exaggerates or misrepresents the documented facts.