We live in an age of religious pluralism which presumes all world religions are equal and all beliefs are also equally valid. If plurality were the case, then Dr. Carson's comment would be bigoted. But plurality's "open-mindedness" conflicts with what the Bible teaches.
The Old Testament story of Moses and the Ten Plagues was a picture book about how the One True God is more powerful than any of the gods of Egypt. The New Testament is proof-text that the One True God is all-powerful as He resurrected His Son from death.
Have any of the "other gods" proven they are who they say they are?
When Jesus says, "I am the Way, the Truth, and the Life (Eternal)"...that would be in stark contrast to a Hindu teaching of many gods...or Buddha's teaching...or Muslim teaching. The religions of the world ALL have different "takes" on the way home, so they can't all be right or equally valid.
We hear a lot about Muslims being peace-loving. But if we do a fruit check, we see Muslims have been quite a lot of aggravation. Their "peace-lessness" is also born out in history as Islam's plan of conquest constantly has tried to bring the entire world under submission for Allah.
Certainly not all Muslims are jihadists. But all in Muslim countries are underneath a governing system whose web infiltrates every level of living, including how to run government, business, religion, dress, and even personal hygiene.
On the other hand, Judaism and Christianity are not governing systems between men and the state, but are about relationships between men and God. We learn to love liberty from our Creator.
This piece was written in 2007; it's called "One God" and it explores the contrast between the Father God and the "other god".
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"One God calls us to love and forgive;
The other god calls for intimidation and submission by force.
One God adopts us into His family;
The other god is master who permits servants.
One God says sin is inside of man and offers a Solution and a Helper;
The other god sees sin coming from the outside and designed burkas.
One God honors women; they are equally part of His story
The other god subjugates half his flock.
One God pleads "come, let us reason together";
The other god does not stoop or promote the free interchange of ideas.
One God offers a place to be with Him forever;
The other god reduces heaven to carnality.
One God is the Author of second chances;
With the other god it is "one strike and you're out!".
One God sees man's disobedience and the Bible says it grieves His heart;
The other god's woodshed is brutal.
One God is a tender Shepherd who carries His lambs;
Is that in the other god's book?
One God had a Son who came down to save;
The other god's people reach up and hope they've done enough.
In these last days and in His forbearance, the One True and Living God stands in stark contrast to the other god as He waits for all men to decide.
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Today we are called to have discernment because faith matters. Would we want a country run like ANY of the Muslim countries? It may be true that not all Muslims are Sharia-compliant Muslims, BUT WE DON'T KNOW because Muslims are instructed to lie in order to "rope a dope". Then why put our country in jeopardy? Do we have to be politically correct and pick one from each category (a black, a woman, a Muslim)? Let's just pick the best one, the one (as Dr. Carson said) complies with our principles and values.
P.S. Dr. Carson's words are being twisted by commentators. This LINK to his comments will help you decide whether his comments were mean-spirited.