Regardless of who is the President, the Lord will bring to pass His designs through righteous men and women. The Lord will provide a way and will work through righteous men and women who want to serve Him.
A great example of this is when Joseph Smith was translating the Book of Mormon and Martin Harris convinced Joseph to let him take the manuscript to show his family “proof” of the Book of Mormon. Martin lost this manuscript and it was never found. At this moment in time, Joseph was sure that he was damned and thought that he had failed the Lord.
However, the Lord had a backup plan. After a period of time and repentance by Joseph, the Lord again called Joseph to translate.
“I will not suffer that they shall destroy my work; yea, I will show unto them that my wisdom is greater than the cunning of the devil.” (D&C 10:43)
My point being that the Lord’s work is not man’s work and His purposes will always be carried out. We just have to be in tune to listen and obey and it won’t matter who is President.