If Pence did in fact follow up at Trump's behest, he should also be charged. Even without the charges, this should disqualify him from running for President (though we know it won't).
14th Amendment Section 3. No person shall be a Senator or Representative in Congress, or elector of President and Vice President, or hold any office, civil or military, under the United States, or under any State, who, having previously taken an oath, as a member of Congress, or as an officer of the United States, or as a member of any State legislature, or as an executive or judicial officer of any State, to support the Constitution of the United States, shall have engaged in insurrection or rebellion against the same, or given aid or comfort to the enemies thereof. But Congress may, by a vote of two-thirds of each House, remove such disability.
One could easily argue that an attempted coup qualifies as rebellion, or the January 6th insurrection, which qualifies all on its own.