What is the difference between rationality and objectivism?

I have had few discussions with Objectivists and read few other discussions where Objectivists took part and I haven't seen particularly high level of rationality there. Objectivism as actually practiced is a political ideology with all downsides - fallacious arguments of all kinds, tight connection between beliefs and personal identity, regarding any opposition as a threat to morality by default and so on.

Objectivism as philosophy is a mix of beliefs often mutually incompatible, connected by vague net of equivocations. You may have been mislead by the etymology of "Objectivism" to thinking that belief in objective reality and morality is the distinguishing characteristic belief of Objectivists. But it is not so. To be an Objectivist, you ideally have to agree that

• For all X, X=X
• The only terminal value is survival.
• There are natural human rights to life, property and liberty, and no other rights.
• Selfishness is a virtue and altruism is a vice.
• Laissez-faire capitalism with minimal to non-existent state is the only moral political system.
• All above could be derived step by step by mere logic from the first axiom, no observational data needed.
• Ayn Rand was one of the greatest thinkers of 20th century (and perhaps of all history of mankind).

That "there is only one true way of some things" is not a steelman version of Rand's Objectivism, it's a vague nearly tautological statement which almost everyone is bound to agree with, Objectivist or not.