The claim is misleading because while Senate Democrats did block Republican bills to reopen the government, the situation involved complex negotiations with both parties refusing to compromise fully, and there is no clear evidence that Republicans offered Democrats a clean seven-week funding extension which Democrats outright rejected.
The radical leftists in the Senate are responsible for the government shutdown. Republican leadership offered Democrats SEVEN WEEKS of clean funding to negotiate while the government stayed open. Democrats said no.

Senate Democrats block GOP bill, extending government shutdown over ObamaCare fight - Fox News
Source: foxnews.com
Key Evidence
Senate Democrats repeatedly blocked GOP stopgap funding bills due to policy disagreements rather than a simple refusal to keep government open.
foxnews.comfoxnews.comSenate Democrats block GOP bill, extending government shutdown over ObamaCare...
pbs.orgpbs.orgWATCH: Democrats reject GOP funding bill, setting up government shutdown
Republicans pushed bills with spending cuts and policy riders that Democrats opposed.
nytimes.comnytimes.comPlans to End Government Shutdown Fail in Senate for 4th Time
bbc.combbc.comWhy has the US government shut down and what does it mean?
No source confirms a clean seven-week funding offer from Republicans that Democrats rejected outright.
thehill.comthehill.comGovernment shutdown: Five Senate Democrats the GOP is trying to flip
thehill.comthehill.comSenate defeats House-passed bill to reopen government, despite Democratic cracks
What the Evidence Shows
Multiple sources confirm that Senate Democrats blocked Republican efforts to pass stopgap funding bills that would have reopened the government, often citing demands for changes related to ObamaCare subsidies or other policy issues.pbs.orgpbs.orgWATCH: Democrats reject GOP funding bill, setting up government shutdown However, the negotiations were characterized by stalemate and mutual refusal to compromise. The New York Times and BBC report that Republicans pushed repeated stopgap bills but also pursued significant spending cuts, which Democrats opposed.
nytimes.comnytimes.comPlans to End Government Shutdown Fail in Senate for 4th Time+4 more
There is no direct evidence in the sources that Republicans offered a clean funding bill covering seven weeks without conditions. Instead, the GOP bills were often described as containing policy riders or cuts that Democrats found unacceptable.
Additionally, some reports highlight Republican disarray and internal disagreements during the shutdown.politico.compolitico.comRepublicans are in disarray one week into the shutdown Thus, attributing sole responsibility to 'radical leftists' in the Senate and framing the offer as a clean seven-week funding extension rejected by Democrats oversimplifies and distorts the complex bipartisan impasse documented in multiple independent sources.