Since the VectorAssembler is crashing, if a passed column has any other type than NumericType or BooleanType and I'm dealing with a lot of TimestampType columns, I want to know: 
Is there a easy way, to cast multiple columns at once?
Based on this answer I already have a convenient way to cast a single column:
def castColumnTo(df: DataFrame, 
    columnName: String, 
    targetType: DataType ) : DataFrame = {
      df.withColumn( columnName, df(columnName).cast(targetType) )
}
I thought about calling castColumnTo recursively, but I strongly doubt that that's the (performant) way to go.
casting of all columns with idiomatic approach in scala
def castAllTypedColumnsTo(df: DataFrame, sourceType: DataType, targetType: DataType) = {
df.schema.filter(_.dataType == sourceType).foldLeft(df) {
    case (acc, col) => acc.withColumn(col.name, df(col.name).cast(targetType))
 }
}
                        Based on the comments (thanks!) I came up with the following code (no error handling implemented):
def castAllTypedColumnsTo(df: DataFrame, 
   sourceType: DataType, targetType: DataType) : DataFrame = {
      val columnsToBeCasted = df.schema
         .filter(s => s.dataType == sourceType)
      //if(columnsToBeCasted.length > 0) {
      //   println(s"Found ${columnsToBeCasted.length} columns " +
      //      s"(${columnsToBeCasted.map(s => s.name).mkString(",")})" +
      //      s" - casting to ${targetType.typeName.capitalize}Type")
      //}
      columnsToBeCasted.foldLeft(df){(foldedDf, col) => 
         castColumnTo(foldedDf, col.name, LongType)}
}
Thanks for the inspiring comments. foldLeft (explained here and here) saves a for loop to iterate over a var dataframe.
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