OP, please be careful about drawing conclusions or attempting to correlate suicide rates with biases you may have about politics or whatever.
Suicide rates and patterns often are highly localized and hold across generations, even with out- and in-migration changes and other demographic change over time.
Gross rates mask the specific differences among social groups by age, sex, race, personal and family characteristics, urban/rural place of residence, religion, personal health, psychiatric history, access to more-lethal suicide methods, familial suicide patterns, gun laws and other factors.
Your thoughts on social isolation are not incorrect, but even that affects some demographics (such as elderly rural white males) more than others, and even among that group it often seems a combination of isolation and physical limitations, rather than the isolation alone.
Easy access to firearms has been associated with some changes over time in, and women have turned to firearms as a method more often as their roles in society and gun proliferation in urban areas have grown. More-fatal methods, such as guns, naturally increase suicide rates. One also has to consider the difference between suicide attempts and completed suicides, with people dying who may not have fully intended it or vice versa.
I had an acquaintance who suffered a psychological crisis (husband called her fat and walked out to be with his girlfriend) attempted suicide with pills, but she had built a tolerance to methamphetamines and ended up cleaning her house for three days nonstop. She then cut her wrists (inefficiently for suicide, cutting across rather than hard and straight up and down the lower arms in order to slice the blood vessels, although some good femoral jabs or the throat-slit work well, too) and the ran down the street to jump off a bridge, but drivers and pedestrians stopped her as she tried to go over. The police were called, and as she lay on bridge surrounded by strangers, barefoot and hysterical, a cop leaned over to her and said, "Young lady, don't you know it's against the law to commit suicide in Missouri?"