Don't even try.
A regex is definitely the wrong tool for that. You could do it, but it'd be horrible.
Instead, just do it in C# code.
By a total coincidence, I wrote this yesterday for someone else:
private static bool IsPalindrome(string inputString)
{
char[] inputArray = inputString.ToLowerInvariant().Where(char.IsLetter).ToArray();
int len = inputArray.Length;
for (int i = 0; i < len / 2; i++)
{
if (inputArray[i] != inputArray[len - (i + 1)]) return false;
}
return true;
}