One of the reasons the President can sign executive order's is, we are still under Martial Law. Under Martial Law the Constitution is null and void.

When seven Southern states walked out of Congress, March 27th, 1861, the quorum to conduct business under the Constitution (original organic 1787-89) was lost.  The only votes Congress could lawfully take, under parliamentary law, were those to set a time to re-convene, take a vote to get a quorum, and vote to adjourn and set a date, time, and place to re-convene at a later time.  Instead, Congress adjourned sine die, i.e. "without a day".  An adjournment without day closes the session, and because there is not provision for convening the assembly again.... that adjournment dissolved the assembly.  Thus, Congress at that time, ceased to exist as a lawful body.  Basic parliamentary law.

So... this two party system, or any party system is a fiction created by the corporation after it was created in that time frame 1861-1871.  There has been no lawful re-assembly of Congress since it ceased to exist in 1861.  Therefore, what we see today in the de facto corporation, is simply fiction.  The president of the corporation rules by executive order, and in truth and law is a dictator.  A president of a corporation is selected, not elected. Also, One of the reasons the President can sign executive order's is, we are still under Martial Law. Under Martial Law the Constitution is null and void.